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

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


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

Reorder the terms:
6(2 + 5m) = -3(8m + 6)
(2 * 6 + 5m * 6) = -3(8m + 6)
(12 + 30m) = -3(8m + 6)

Reorder the terms:
12 + 30m = -3(6 + 8m)
12 + 30m = (6 * -3 + 8m * -3)
12 + 30m = (-18 + -24m)

Solving
12 + 30m = -18 + -24m

Solving for variable 'm'.

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

Add '24m' to each side of the equation.
12 + 30m + 24m = -18 + -24m + 24m

Combine like terms: 30m + 24m = 54m
12 + 54m = -18 + -24m + 24m

Combine like terms: -24m + 24m = 0
12 + 54m = -18 + 0
12 + 54m = -18

Add '-12' to each side of the equation.
12 + -12 + 54m = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 54m = -18 + -12
54m = -18 + -12

Combine like terms: -18 + -12 = -30
54m = -30

Divide each side by '54'.
m = -0.5555555556

Simplifying
m = -0.5555555556

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