6(1+1+3m)=-8(-2m+5)-4

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Solution for 6(1+1+3m)=-8(-2m+5)-4 equation:


Simplifying
6(1 + 1 + 3m) = -8(-2m + 5) + -4

Combine like terms: 1 + 1 = 2
6(2 + 3m) = -8(-2m + 5) + -4
(2 * 6 + 3m * 6) = -8(-2m + 5) + -4
(12 + 18m) = -8(-2m + 5) + -4

Reorder the terms:
12 + 18m = -8(5 + -2m) + -4
12 + 18m = (5 * -8 + -2m * -8) + -4
12 + 18m = (-40 + 16m) + -4

Reorder the terms:
12 + 18m = -40 + -4 + 16m

Combine like terms: -40 + -4 = -44
12 + 18m = -44 + 16m

Solving
12 + 18m = -44 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
12 + 18m + -16m = -44 + 16m + -16m

Combine like terms: 18m + -16m = 2m
12 + 2m = -44 + 16m + -16m

Combine like terms: 16m + -16m = 0
12 + 2m = -44 + 0
12 + 2m = -44

Add '-12' to each side of the equation.
12 + -12 + 2m = -44 + -12

Combine like terms: 12 + -12 = 0
0 + 2m = -44 + -12
2m = -44 + -12

Combine like terms: -44 + -12 = -56
2m = -56

Divide each side by '2'.
m = -28

Simplifying
m = -28

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