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 = 36
6 + 18m = 36 + 16m

Solving
6 + 18m = 36 + 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 = 36 + 16m + -16m

Combine like terms: 18m + -16m = 2m
6 + 2m = 36 + 16m + -16m

Combine like terms: 16m + -16m = 0
6 + 2m = 36 + 0
6 + 2m = 36

Add '-6' to each side of the equation.
6 + -6 + 2m = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = 36 + -6
2m = 36 + -6

Combine like terms: 36 + -6 = 30
2m = 30

Divide each side by '2'.
m = 15

Simplifying
m = 15

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