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

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


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

Reorder the terms:
6(3 + m) + -3 = -3(3m + 5)
(3 * 6 + m * 6) + -3 = -3(3m + 5)
(18 + 6m) + -3 = -3(3m + 5)

Reorder the terms:
18 + -3 + 6m = -3(3m + 5)

Combine like terms: 18 + -3 = 15
15 + 6m = -3(3m + 5)

Reorder the terms:
15 + 6m = -3(5 + 3m)
15 + 6m = (5 * -3 + 3m * -3)
15 + 6m = (-15 + -9m)

Solving
15 + 6m = -15 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
15 + 6m + 9m = -15 + -9m + 9m

Combine like terms: 6m + 9m = 15m
15 + 15m = -15 + -9m + 9m

Combine like terms: -9m + 9m = 0
15 + 15m = -15 + 0
15 + 15m = -15

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

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

Combine like terms: -15 + -15 = -30
15m = -30

Divide each side by '15'.
m = -2

Simplifying
m = -2

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