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

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


Simplifying
6(1 + 3m) = -8(2m + 5) + -4
(1 * 6 + 3m * 6) = -8(2m + 5) + -4
(6 + 18m) = -8(2m + 5) + -4

Reorder the terms:
6 + 18m = -8(5 + 2m) + -4
6 + 18m = (5 * -8 + 2m * -8) + -4
6 + 18m = (-40 + -16m) + -4

Reorder the terms:
6 + 18m = -40 + -4 + -16m

Combine like terms: -40 + -4 = -44
6 + 18m = -44 + -16m

Solving
6 + 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.
6 + 18m + 16m = -44 + -16m + 16m

Combine like terms: 18m + 16m = 34m
6 + 34m = -44 + -16m + 16m

Combine like terms: -16m + 16m = 0
6 + 34m = -44 + 0
6 + 34m = -44

Add '-6' to each side of the equation.
6 + -6 + 34m = -44 + -6

Combine like terms: 6 + -6 = 0
0 + 34m = -44 + -6
34m = -44 + -6

Combine like terms: -44 + -6 = -50
34m = -50

Divide each side by '34'.
m = -1.470588235

Simplifying
m = -1.470588235

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