Question

combining like terms

1. 7 + 14q - 5 + 6q
2. 17q - 13 - 14 + 6q
3. -3 - 13c + 5c - 14
4. 19 + 14r - 10
5. 5h + 14h
6. 15d + 8 - 18d
7. -17c - 2 - 4c + 19
8. 13 - 5k - 18k
9. r - 18r
10. 17h - h

Explanation:

Step1: Group constant and q terms

$(7-5)+(14q+6q)$

Step2: Simplify each group

$2 + 20q$

Step1: Group constant and q terms

$(17q+6q)+(-13-14)$

Step2: Simplify each group

$23q - 27$

Step1: Group constant and c terms

$(-3-14)+(-13c+5c)$

Step2: Simplify each group

$-17 - 8c$

Step1: Group constant and r terms

$(19-10)+14r$

Step2: Simplify each group

$9 + 14r$

Step1: Combine like h terms

$5h+14h=(5+14)h$

Step2: Simplify coefficient

$19h$

Step1: Group constant and d terms

$(15d-18d)+8$

Step2: Simplify each group

$-3d + 8$

Step1: Group constant and c terms

$(-17c-4c)+(-2+19)$

Step2: Simplify each group

$-21c + 17$

Step1: Group constant and k terms

$13+(-5k-18k)$

Step2: Simplify each group

$13 - 23k$

Step1: Combine like r terms

$r-18r=(1-18)r$

Step2: Simplify coefficient

$-17r$

Step1: Combine like h terms

$17h-h=(17-1)h$

Step2: Simplify coefficient

$16h$

Answer:

1. $2 + 20q$
2. $23q - 27$
3. $-17 - 8c$
4. $9 + 14r$
5. $19h$
6. $-3d + 8$
7. $-21c + 17$
8. $13 - 23k$
9. $-17r$
10. $16h$