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

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


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

Reorder the terms:
2 + 6m + 3(6 + m) = m + -4 + 2m
2 + 6m + (6 * 3 + m * 3) = m + -4 + 2m
2 + 6m + (18 + 3m) = m + -4 + 2m

Reorder the terms:
2 + 18 + 6m + 3m = m + -4 + 2m

Combine like terms: 2 + 18 = 20
20 + 6m + 3m = m + -4 + 2m

Combine like terms: 6m + 3m = 9m
20 + 9m = m + -4 + 2m

Reorder the terms:
20 + 9m = -4 + m + 2m

Combine like terms: m + 2m = 3m
20 + 9m = -4 + 3m

Solving
20 + 9m = -4 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
20 + 9m + -3m = -4 + 3m + -3m

Combine like terms: 9m + -3m = 6m
20 + 6m = -4 + 3m + -3m

Combine like terms: 3m + -3m = 0
20 + 6m = -4 + 0
20 + 6m = -4

Add '-20' to each side of the equation.
20 + -20 + 6m = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 6m = -4 + -20
6m = -4 + -20

Combine like terms: -4 + -20 = -24
6m = -24

Divide each side by '6'.
m = -4

Simplifying
m = -4

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