-3(m+3)-2m=2(6-5m)+4

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Solution for -3(m+3)-2m=2(6-5m)+4 equation:


Simplifying
-3(m + 3) + -2m = 2(6 + -5m) + 4

Reorder the terms:
-3(3 + m) + -2m = 2(6 + -5m) + 4
(3 * -3 + m * -3) + -2m = 2(6 + -5m) + 4
(-9 + -3m) + -2m = 2(6 + -5m) + 4

Combine like terms: -3m + -2m = -5m
-9 + -5m = 2(6 + -5m) + 4
-9 + -5m = (6 * 2 + -5m * 2) + 4
-9 + -5m = (12 + -10m) + 4

Reorder the terms:
-9 + -5m = 12 + 4 + -10m

Combine like terms: 12 + 4 = 16
-9 + -5m = 16 + -10m

Solving
-9 + -5m = 16 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
-9 + -5m + 10m = 16 + -10m + 10m

Combine like terms: -5m + 10m = 5m
-9 + 5m = 16 + -10m + 10m

Combine like terms: -10m + 10m = 0
-9 + 5m = 16 + 0
-9 + 5m = 16

Add '9' to each side of the equation.
-9 + 9 + 5m = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 5m = 16 + 9
5m = 16 + 9

Combine like terms: 16 + 9 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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