12+3(m+1)=-2+4(m+6)

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Solution for 12+3(m+1)=-2+4(m+6) equation:


Simplifying
12 + 3(m + 1) = -2 + 4(m + 6)

Reorder the terms:
12 + 3(1 + m) = -2 + 4(m + 6)
12 + (1 * 3 + m * 3) = -2 + 4(m + 6)
12 + (3 + 3m) = -2 + 4(m + 6)

Combine like terms: 12 + 3 = 15
15 + 3m = -2 + 4(m + 6)

Reorder the terms:
15 + 3m = -2 + 4(6 + m)
15 + 3m = -2 + (6 * 4 + m * 4)
15 + 3m = -2 + (24 + 4m)

Combine like terms: -2 + 24 = 22
15 + 3m = 22 + 4m

Solving
15 + 3m = 22 + 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.
15 + 3m + -4m = 22 + 4m + -4m

Combine like terms: 3m + -4m = -1m
15 + -1m = 22 + 4m + -4m

Combine like terms: 4m + -4m = 0
15 + -1m = 22 + 0
15 + -1m = 22

Add '-15' to each side of the equation.
15 + -15 + -1m = 22 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 22 + -15
-1m = 22 + -15

Combine like terms: 22 + -15 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7

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