4m-(6m+5)+2=8m+3(4-3m)

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Solution for 4m-(6m+5)+2=8m+3(4-3m) equation:


Simplifying
4m + -1(6m + 5) + 2 = 8m + 3(4 + -3m)

Reorder the terms:
4m + -1(5 + 6m) + 2 = 8m + 3(4 + -3m)
4m + (5 * -1 + 6m * -1) + 2 = 8m + 3(4 + -3m)
4m + (-5 + -6m) + 2 = 8m + 3(4 + -3m)

Reorder the terms:
-5 + 2 + 4m + -6m = 8m + 3(4 + -3m)

Combine like terms: -5 + 2 = -3
-3 + 4m + -6m = 8m + 3(4 + -3m)

Combine like terms: 4m + -6m = -2m
-3 + -2m = 8m + 3(4 + -3m)
-3 + -2m = 8m + (4 * 3 + -3m * 3)
-3 + -2m = 8m + (12 + -9m)

Reorder the terms:
-3 + -2m = 12 + 8m + -9m

Combine like terms: 8m + -9m = -1m
-3 + -2m = 12 + -1m

Solving
-3 + -2m = 12 + -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.
-3 + -2m + m = 12 + -1m + m

Combine like terms: -2m + m = -1m
-3 + -1m = 12 + -1m + m

Combine like terms: -1m + m = 0
-3 + -1m = 12 + 0
-3 + -1m = 12

Add '3' to each side of the equation.
-3 + 3 + -1m = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 12 + 3
-1m = 12 + 3

Combine like terms: 12 + 3 = 15
-1m = 15

Divide each side by '-1'.
m = -15

Simplifying
m = -15

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