12m+8-5m+2+m=6(m+1)

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Solution for 12m+8-5m+2+m=6(m+1) equation:


Simplifying
12m + 8 + -5m + 2 + m = 6(m + 1)

Reorder the terms:
8 + 2 + 12m + -5m + m = 6(m + 1)

Combine like terms: 8 + 2 = 10
10 + 12m + -5m + m = 6(m + 1)

Combine like terms: 12m + -5m = 7m
10 + 7m + m = 6(m + 1)

Combine like terms: 7m + m = 8m
10 + 8m = 6(m + 1)

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

Solving
10 + 8m = 6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
10 + 8m + -6m = 6 + 6m + -6m

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

Combine like terms: 6m + -6m = 0
10 + 2m = 6 + 0
10 + 2m = 6

Add '-10' to each side of the equation.
10 + -10 + 2m = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2m = 6 + -10
2m = 6 + -10

Combine like terms: 6 + -10 = -4
2m = -4

Divide each side by '2'.
m = -2

Simplifying
m = -2

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