-14+3(m+10)=7(2m+4)+m

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Solution for -14+3(m+10)=7(2m+4)+m equation: 


Simplifying
-14 + 3(m + 10) = 7(2m + 4) + m

Reorder the terms:
-14 + 3(10 + m) = 7(2m + 4) + m
-14 + (10 * 3 + m * 3) = 7(2m + 4) + m
-14 + (30 + 3m) = 7(2m + 4) + m

Combine like terms: -14 + 30 = 16
16 + 3m = 7(2m + 4) + m

Reorder the terms:
16 + 3m = 7(4 + 2m) + m
16 + 3m = (4 * 7 + 2m * 7) + m
16 + 3m = (28 + 14m) + m

Combine like terms: 14m + m = 15m
16 + 3m = 28 + 15m

Solving
16 + 3m = 28 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
16 + 3m + -15m = 28 + 15m + -15m

Combine like terms: 3m + -15m = -12m
16 + -12m = 28 + 15m + -15m

Combine like terms: 15m + -15m = 0
16 + -12m = 28 + 0
16 + -12m = 28

Add '-16' to each side of the equation.
16 + -16 + -12m = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -12m = 28 + -16
-12m = 28 + -16

Combine like terms: 28 + -16 = 12
-12m = 12

Divide each side by '-12'.
m = -1

Simplifying
m = -1

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