Question

simplify the expression: 4a + 2b - 5a + b (b1)
simplify the expression: 4x + z - x + 4z (b2)
simplify the expression: 6m + m + 4n + n - m (b3)
simplify the expression: -5d + 3c - 4d (b4)
simplify the expression: 7c + 2d - c + 4d (b5)
simplify the expression: a + b + 2b + a + 3b (b6)
simplify the expression: 6f - 3g - g + 5f - g (b7)
simplify the expression: 6x - x + 4y + 2x - y (b8)
simplify the expression: 7t + 6u + 10t - u (b9)
simplify the expression: 3 + t - 7t + 1 + 4t (b10)
simplify the expression: y + 11z - y + 13z (b11)
simplify the expression: -7a - 8 + 2a + 10 (b12)
simplify the expression: 7d - 3 + 2d + c + 5 (b13)
simplify the expression: 7w + 6 - 4 + 2w - w (b14)
simplify the expression: 6 + f - 3 - f (b15)
simplify the expression: 11k - 9 + 2k - 3 (b16)
simplify the expression: 6h + 7j - 3h + 5j (b17)
simplify the expression: 3m - n + 4m + 2m (b18)
simplify the expression: 5x + 3x - y + 2x - 2y (b19)
simplify the expression: 2a + 4 - 8a + 5 + a (b20)
simplify the expression: 8a - b + a + 4a - b (b21)

Explanation:

b1: Group like terms

$(4a-5a)+(2b+b)$

b1: Combine like terms

$-a+3b$

b2: Group like terms

$(4x-x)+(z+4z)$

b2: Combine like terms

$3x+5z$

b3: Group like terms

$(6m+m-m)+(4n+n)$

b3: Combine like terms

$6m+5n$

b4: Group like terms

$3c+(-5d-4d)$

b4: Combine like terms

$3c-9d$

b5: Group like terms

$(7c-c)+(2d+4d)$

b5: Combine like terms

$6c+6d$

b6: Group like terms

$(a+a)+(b+2b+3b)$

b6: Combine like terms

$2a+6b$

b7: Group like terms

$(6f+5f)+(-3g-g-g)$

b7: Combine like terms

$11f-5g$

b8: Group like terms

$(6x-x+2x)+(4y-y)$

b8: Combine like terms

$7x+3y$

b9: Group like terms

$(7t+10t)+(6u-u)$

b9: Combine like terms

$17t+5u$

b10: Group like terms

$(3+1)+(t-7t+4t)$

b10: Combine like terms

$4-2t$

b11: Group like terms

$(y-y)+(11z+13z)$

b11: Combine like terms

$24z$

b12: Group like terms

$(-7a+2a)+(-8+10)$

b12: Combine like terms

$-5a+2$

b13: Group like terms

$(7d+2d)+c+(-3+5)$

b13: Combine like terms

$9d+c+2$

b14: Group like terms

$(7w+2w-w)+(6-4)$

b14: Combine like terms

$8w+2$

b15: Group like terms

$(f-f)+(6-3)$

b15: Combine like terms

$3$

b16: Group like terms

$(11k+2k)+(-9-3)$

b16: Combine like terms

$13k-12$

b17: Group like terms

$(6h-3h)+(7j+5j)$

b17: Combine like terms

$3h+12j$

b18: Group like terms

$(3m+4m+2m)-n$

b18: Combine like terms

$9m-n$

b19: Group like terms

$(5x+3x+2x)+(-y-2y)$

b19: Combine like terms

$10x-3y$

b20: Group like terms

$(2a-8a+a)+(4+5)$

b20: Combine like terms

$-5a+9$

b21: Group like terms

$(8a+a+4a)+(-b-b)$

b21: Combine like terms

$13a-2b$

Answer:

b1: $-a + 3b$
b2: $3x + 5z$
b3: $6m + 5n$
b4: $3c - 9d$
b5: $6c + 6d$
b6: $2a + 6b$
b7: $11f - 5g$
b8: $7x + 3y$
b9: $17t + 5u$
b10: $4 - 2t$
b11: $24z$
b12: $-5a + 2$
b13: $9d + c + 2$
b14: $8w + 2$
b15: $3$
b16: $13k - 12$
b17: $3h + 12j$
b18: $9m - n$
b19: $10x - 3y$
b20: $-5a + 9$
b21: $13a - 2b$