-3(3m-10)-7=-5(m+1)+3m

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Solution for -3(3m-10)-7=-5(m+1)+3m equation:


Simplifying
-3(3m + -10) + -7 = -5(m + 1) + 3m

Reorder the terms:
-3(-10 + 3m) + -7 = -5(m + 1) + 3m
(-10 * -3 + 3m * -3) + -7 = -5(m + 1) + 3m
(30 + -9m) + -7 = -5(m + 1) + 3m

Reorder the terms:
30 + -7 + -9m = -5(m + 1) + 3m

Combine like terms: 30 + -7 = 23
23 + -9m = -5(m + 1) + 3m

Reorder the terms:
23 + -9m = -5(1 + m) + 3m
23 + -9m = (1 * -5 + m * -5) + 3m
23 + -9m = (-5 + -5m) + 3m

Combine like terms: -5m + 3m = -2m
23 + -9m = -5 + -2m

Solving
23 + -9m = -5 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
23 + -9m + 2m = -5 + -2m + 2m

Combine like terms: -9m + 2m = -7m
23 + -7m = -5 + -2m + 2m

Combine like terms: -2m + 2m = 0
23 + -7m = -5 + 0
23 + -7m = -5

Add '-23' to each side of the equation.
23 + -23 + -7m = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -7m = -5 + -23
-7m = -5 + -23

Combine like terms: -5 + -23 = -28
-7m = -28

Divide each side by '-7'.
m = 4

Simplifying
m = 4

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