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

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


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

Reorder the terms:
5(3 + m) + 3(3 + -2m) = -2(m + -3) + -2
(3 * 5 + m * 5) + 3(3 + -2m) = -2(m + -3) + -2
(15 + 5m) + 3(3 + -2m) = -2(m + -3) + -2
15 + 5m + (3 * 3 + -2m * 3) = -2(m + -3) + -2
15 + 5m + (9 + -6m) = -2(m + -3) + -2

Reorder the terms:
15 + 9 + 5m + -6m = -2(m + -3) + -2

Combine like terms: 15 + 9 = 24
24 + 5m + -6m = -2(m + -3) + -2

Combine like terms: 5m + -6m = -1m
24 + -1m = -2(m + -3) + -2

Reorder the terms:
24 + -1m = -2(-3 + m) + -2
24 + -1m = (-3 * -2 + m * -2) + -2
24 + -1m = (6 + -2m) + -2

Reorder the terms:
24 + -1m = 6 + -2 + -2m

Combine like terms: 6 + -2 = 4
24 + -1m = 4 + -2m

Solving
24 + -1m = 4 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
24 + -1m + 2m = 4 + -2m + 2m

Combine like terms: -1m + 2m = 1m
24 + 1m = 4 + -2m + 2m

Combine like terms: -2m + 2m = 0
24 + 1m = 4 + 0
24 + 1m = 4

Add '-24' to each side of the equation.
24 + -24 + 1m = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 1m = 4 + -24
1m = 4 + -24

Combine like terms: 4 + -24 = -20
1m = -20

Divide each side by '1'.
m = -20

Simplifying
m = -20

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