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

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


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

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

Combine like terms: 2 + -6 = -4
3[-4 + -4m] + -3 = 5(4 + -1m)
[-4 * 3 + -4m * 3] + -3 = 5(4 + -1m)
[-12 + -12m] + -3 = 5(4 + -1m)

Reorder the terms:
-12 + -3 + -12m = 5(4 + -1m)

Combine like terms: -12 + -3 = -15
-15 + -12m = 5(4 + -1m)
-15 + -12m = (4 * 5 + -1m * 5)
-15 + -12m = (20 + -5m)

Solving
-15 + -12m = 20 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
-15 + -12m + 5m = 20 + -5m + 5m

Combine like terms: -12m + 5m = -7m
-15 + -7m = 20 + -5m + 5m

Combine like terms: -5m + 5m = 0
-15 + -7m = 20 + 0
-15 + -7m = 20

Add '15' to each side of the equation.
-15 + 15 + -7m = 20 + 15

Combine like terms: -15 + 15 = 0
0 + -7m = 20 + 15
-7m = 20 + 15

Combine like terms: 20 + 15 = 35
-7m = 35

Divide each side by '-7'.
m = -5

Simplifying
m = -5

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