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

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


Simplifying
6(3 + 3m) = -4m + 8(4m + -4)
(3 * 6 + 3m * 6) = -4m + 8(4m + -4)
(18 + 18m) = -4m + 8(4m + -4)

Reorder the terms:
18 + 18m = -4m + 8(-4 + 4m)
18 + 18m = -4m + (-4 * 8 + 4m * 8)
18 + 18m = -4m + (-32 + 32m)

Reorder the terms:
18 + 18m = -32 + -4m + 32m

Combine like terms: -4m + 32m = 28m
18 + 18m = -32 + 28m

Solving
18 + 18m = -32 + 28m

Solving for variable 'm'.

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

Add '-28m' to each side of the equation.
18 + 18m + -28m = -32 + 28m + -28m

Combine like terms: 18m + -28m = -10m
18 + -10m = -32 + 28m + -28m

Combine like terms: 28m + -28m = 0
18 + -10m = -32 + 0
18 + -10m = -32

Add '-18' to each side of the equation.
18 + -18 + -10m = -32 + -18

Combine like terms: 18 + -18 = 0
0 + -10m = -32 + -18
-10m = -32 + -18

Combine like terms: -32 + -18 = -50
-10m = -50

Divide each side by '-10'.
m = 5

Simplifying
m = 5

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