-9(m+2)=7(-2m+5)+12

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Solution for -9(m+2)=7(-2m+5)+12 equation: 


Simplifying
-9(m + 2) = 7(-2m + 5) + 12

Reorder the terms:
-9(2 + m) = 7(-2m + 5) + 12
(2 * -9 + m * -9) = 7(-2m + 5) + 12
(-18 + -9m) = 7(-2m + 5) + 12

Reorder the terms:
-18 + -9m = 7(5 + -2m) + 12
-18 + -9m = (5 * 7 + -2m * 7) + 12
-18 + -9m = (35 + -14m) + 12

Reorder the terms:
-18 + -9m = 35 + 12 + -14m

Combine like terms: 35 + 12 = 47
-18 + -9m = 47 + -14m

Solving
-18 + -9m = 47 + -14m

Solving for variable 'm'.

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

Add '14m' to each side of the equation.
-18 + -9m + 14m = 47 + -14m + 14m

Combine like terms: -9m + 14m = 5m
-18 + 5m = 47 + -14m + 14m

Combine like terms: -14m + 14m = 0
-18 + 5m = 47 + 0
-18 + 5m = 47

Add '18' to each side of the equation.
-18 + 18 + 5m = 47 + 18

Combine like terms: -18 + 18 = 0
0 + 5m = 47 + 18
5m = 47 + 18

Combine like terms: 47 + 18 = 65
5m = 65

Divide each side by '5'.
m = 13

Simplifying
m = 13

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