3m+m=-6(-m+6)-3(m-8)

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


Simplifying
3m + m = -6(-1m + 6) + -3(m + -8)

Combine like terms: 3m + m = 4m
4m = -6(-1m + 6) + -3(m + -8)

Reorder the terms:
4m = -6(6 + -1m) + -3(m + -8)
4m = (6 * -6 + -1m * -6) + -3(m + -8)
4m = (-36 + 6m) + -3(m + -8)

Reorder the terms:
4m = -36 + 6m + -3(-8 + m)
4m = -36 + 6m + (-8 * -3 + m * -3)
4m = -36 + 6m + (24 + -3m)

Reorder the terms:
4m = -36 + 24 + 6m + -3m

Combine like terms: -36 + 24 = -12
4m = -12 + 6m + -3m

Combine like terms: 6m + -3m = 3m
4m = -12 + 3m

Solving
4m = -12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
4m + -3m = -12 + 3m + -3m

Combine like terms: 4m + -3m = 1m
1m = -12 + 3m + -3m

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

Divide each side by '1'.
m = -12

Simplifying
m = -12

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