6(m+1)+12=4(m+10)-8

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Solution for 6(m+1)+12=4(m+10)-8 equation: 


Simplifying
6(m + 1) + 12 = 4(m + 10) + -8

Reorder the terms:
6(1 + m) + 12 = 4(m + 10) + -8
(1 * 6 + m * 6) + 12 = 4(m + 10) + -8
(6 + 6m) + 12 = 4(m + 10) + -8

Reorder the terms:
6 + 12 + 6m = 4(m + 10) + -8

Combine like terms: 6 + 12 = 18
18 + 6m = 4(m + 10) + -8

Reorder the terms:
18 + 6m = 4(10 + m) + -8
18 + 6m = (10 * 4 + m * 4) + -8
18 + 6m = (40 + 4m) + -8

Reorder the terms:
18 + 6m = 40 + -8 + 4m

Combine like terms: 40 + -8 = 32
18 + 6m = 32 + 4m

Solving
18 + 6m = 32 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
18 + 6m + -4m = 32 + 4m + -4m

Combine like terms: 6m + -4m = 2m
18 + 2m = 32 + 4m + -4m

Combine like terms: 4m + -4m = 0
18 + 2m = 32 + 0
18 + 2m = 32

Add '-18' to each side of the equation.
18 + -18 + 2m = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 2m = 32 + -18
2m = 32 + -18

Combine like terms: 32 + -18 = 14
2m = 14

Divide each side by '2'.
m = 7

Simplifying
m = 7

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