3(-2m-3)=-6(5+m)+7m

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Solution for 3(-2m-3)=-6(5+m)+7m equation:


Simplifying
3(-2m + -3) = -6(5 + m) + 7m

Reorder the terms:
3(-3 + -2m) = -6(5 + m) + 7m
(-3 * 3 + -2m * 3) = -6(5 + m) + 7m
(-9 + -6m) = -6(5 + m) + 7m
-9 + -6m = (5 * -6 + m * -6) + 7m
-9 + -6m = (-30 + -6m) + 7m

Combine like terms: -6m + 7m = 1m
-9 + -6m = -30 + 1m

Solving
-9 + -6m = -30 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-9 + -6m + -1m = -30 + 1m + -1m

Combine like terms: -6m + -1m = -7m
-9 + -7m = -30 + 1m + -1m

Combine like terms: 1m + -1m = 0
-9 + -7m = -30 + 0
-9 + -7m = -30

Add '9' to each side of the equation.
-9 + 9 + -7m = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -7m = -30 + 9
-7m = -30 + 9

Combine like terms: -30 + 9 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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