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

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)

Reorder the terms for easier multiplication:
6 + 18m = -8 * -4(5 + -2m)

Multiply -8 * -4
6 + 18m = 32(5 + -2m)
6 + 18m = (5 * 32 + -2m * 32)
6 + 18m = (160 + -64m)

Solving
6 + 18m = 160 + -64m

Solving for variable 'm'.

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

Add '64m' to each side of the equation.
6 + 18m + 64m = 160 + -64m + 64m

Combine like terms: 18m + 64m = 82m
6 + 82m = 160 + -64m + 64m

Combine like terms: -64m + 64m = 0
6 + 82m = 160 + 0
6 + 82m = 160

Add '-6' to each side of the equation.
6 + -6 + 82m = 160 + -6

Combine like terms: 6 + -6 = 0
0 + 82m = 160 + -6
82m = 160 + -6

Combine like terms: 160 + -6 = 154
82m = 154

Divide each side by '82'.
m = 1.87804878

Simplifying
m = 1.87804878