Question

combining like terms
problem\tsimplified answer\tproblem\tsimplified answer
7x - x + 9y\t5m - 3n - 10m
2a + 6a + 5b - 3b\tx + 4y + 7x - y
13v - v + 15w - 4v\t12c + 7 - 2c + 5d - 2
12g + 6f - 2f - 5g - 4f\t-7q - 10 + r + 16r
8a + 3b - 6a + 7\t7m + 5 - m + 12
16a + 8 + 12c - 7a + 3b - c\t9x - 3y + x - 13

Explanation:

Step1: Combine x - terms in 7x - x + 9y

$(7 - 1)x+9y = 6x + 9y$

Step2: Combine a - terms and b - terms in 2a + 6a + 5b - 3b

$(2 + 6)a+(5 - 3)b=8a + 2b$

Step3: Combine v - terms in 13v - v + 15w - 4v

$(13 - 1-4)v + 15w=8v + 15w$

Step4: Combine g - terms and f - terms in 12g + 6f - 2f - 5g - 4f

$(12 - 5)g+(6 - 2-4)f = 7g+0f=7g$

Step5: Combine a - terms in 8a + 3b - 6a + 7

$(8 - 6)a+3b + 7=2a + 3b + 7$

Step6: Combine a - terms and c - terms in 16a + 8 + 12c - 7a + 3b - c

$(16 - 7)a+3b+(12 - 1)c + 8=9a + 3b+11c + 8$

Step7: Combine m - terms in 5m - 3n - 10m

$(5 - 10)m-3n=-5m - 3n$

Step8: Combine x - terms and y - terms in x + 4y + 7x - y

$(1 + 7)x+(4 - 1)y=8x + 3y$

Step9: Combine c - terms and constants in 12c + 7 - 2c + 5d - 2

$(12 - 2)c+5d+(7 - 2)=10c + 5d + 5$

Step10: Combine r - terms in -7q - 10 + r + 16r

$-7q+(1 + 16)r-10=-7q + 17r-10$

Step11: Combine m - terms and constants in 7m + 5 - m + 12

$(7 - 1)m+(5 + 12)=6m + 17$

Step12: Combine x - terms in 9x - 3y + x - 13

$(9 + 1)x-3y-13=10x-3y-13$

Answer:

Problem	Simplified Answer
2a + 6a + 5b - 3b	8a + 2b
13v - v + 15w - 4v	8v + 15w
12g + 6f - 2f - 5g - 4f	7g
8a + 3b - 6a + 7	2a + 3b + 7
16a + 8 + 12c - 7a + 3b - c	9a + 3b+11c + 8
5m - 3n - 10m	-5m - 3n
x + 4y + 7x - y	8x + 3y
12c + 7 - 2c + 5d - 2	10c + 5d + 5
-7q - 10 + r + 16r	-7q + 17r-10
7m + 5 - m + 12	6m + 17
9x - 3y + x - 13	10x-3y-13