-3m+16-3(m-2)=7m-(8m-3)-2m+7

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Solution for -3m+16-3(m-2)=7m-(8m-3)-2m+7 equation:


Simplifying
-3m + 16 + -3(m + -2) = 7m + -1(8m + -3) + -2m + 7

Reorder the terms:
-3m + 16 + -3(-2 + m) = 7m + -1(8m + -3) + -2m + 7
-3m + 16 + (-2 * -3 + m * -3) = 7m + -1(8m + -3) + -2m + 7
-3m + 16 + (6 + -3m) = 7m + -1(8m + -3) + -2m + 7

Reorder the terms:
16 + 6 + -3m + -3m = 7m + -1(8m + -3) + -2m + 7

Combine like terms: 16 + 6 = 22
22 + -3m + -3m = 7m + -1(8m + -3) + -2m + 7

Combine like terms: -3m + -3m = -6m
22 + -6m = 7m + -1(8m + -3) + -2m + 7

Reorder the terms:
22 + -6m = 7m + -1(-3 + 8m) + -2m + 7
22 + -6m = 7m + (-3 * -1 + 8m * -1) + -2m + 7
22 + -6m = 7m + (3 + -8m) + -2m + 7

Reorder the terms:
22 + -6m = 3 + 7 + 7m + -8m + -2m

Combine like terms: 3 + 7 = 10
22 + -6m = 10 + 7m + -8m + -2m

Combine like terms: 7m + -8m = -1m
22 + -6m = 10 + -1m + -2m

Combine like terms: -1m + -2m = -3m
22 + -6m = 10 + -3m

Solving
22 + -6m = 10 + -3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '3m' to each side of the equation.
22 + -6m + 3m = 10 + -3m + 3m

Combine like terms: -6m + 3m = -3m
22 + -3m = 10 + -3m + 3m

Combine like terms: -3m + 3m = 0
22 + -3m = 10 + 0
22 + -3m = 10

Add '-22' to each side of the equation.
22 + -22 + -3m = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3m = 10 + -22
-3m = 10 + -22

Combine like terms: 10 + -22 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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