6m+3(m+3)=-1(2m+7)+m

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Solution for 6m+3(m+3)=-1(2m+7)+m equation: 


Simplifying
6m + 3(m + 3) = -1(2m + 7) + m

Reorder the terms:
6m + 3(3 + m) = -1(2m + 7) + m
6m + (3 * 3 + m * 3) = -1(2m + 7) + m
6m + (9 + 3m) = -1(2m + 7) + m

Reorder the terms:
9 + 6m + 3m = -1(2m + 7) + m

Combine like terms: 6m + 3m = 9m
9 + 9m = -1(2m + 7) + m

Reorder the terms:
9 + 9m = -1(7 + 2m) + m
9 + 9m = (7 * -1 + 2m * -1) + m
9 + 9m = (-7 + -2m) + m

Combine like terms: -2m + m = -1m
9 + 9m = -7 + -1m

Solving
9 + 9m = -7 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
9 + 9m + m = -7 + -1m + m

Combine like terms: 9m + m = 10m
9 + 10m = -7 + -1m + m

Combine like terms: -1m + m = 0
9 + 10m = -7 + 0
9 + 10m = -7

Add '-9' to each side of the equation.
9 + -9 + 10m = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 10m = -7 + -9
10m = -7 + -9

Combine like terms: -7 + -9 = -16
10m = -16

Divide each side by '10'.
m = -1.6

Simplifying
m = -1.6

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