Question

simplify each expression.

1. $-6k+7k$
2. $12r-8-12$
3. $n-10+9n-3$
4. $-4x-10x$
5. $-r-10r$
6. $-2x+11+6x$
7. $11r-12r$
8. $-v+12v$
9. $-8x-11x$
10. $4p+2p$
11. $5n+11n$
12. $n+4-9-5n$
13. $12r+5+3r-5$
14. $-5+9n+6$

Explanation:

Step1: Combine like terms

$(-6+7)k = 1k = k$

Step2: Combine constant terms

$12r + (-8-12) = 12r - 20$

Step3: Combine like terms and constants

$(1+9)n + (-10-3) = 10n - 13$

Step4: Combine like terms

$(-4-10)x = -14x$

Step5: Combine like terms

$(-1-10)r = -11r$

Step6: Combine like terms and constants

$(-2+6)x + 11 = 4x + 11$

Step7: Combine like terms

$(11-12)r = -r$

Step8: Combine like terms

$(-1+12)v = 11v$

Step9: Combine like terms

$(-8-11)x = -19x$

Step10: Combine like terms

$(4+2)p = 6p$

Step11: Combine like terms

$(5+11)n = 16n$

Step12: Combine like terms and constants

$(1-5)n + (4-9) = -4n - 5$

Step13: Combine like terms and constants

$(12+3)r + (5-5) = 15r + 0 = 15r$

Step14: Combine like terms and constants

$9n + (-5+6) = 9n + 1$

Answer:

1. $k$
2. $12r - 20$
3. $10n - 13$
4. $-14x$
5. $-11r$
6. $4x + 11$
7. $-r$
8. $11v$
9. $-19x$
10. $6p$
11. $16n$
12. $-4n - 5$
13. $15r$
14. $9n + 1$