-3(m-4)=5(3m+2)

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


Simplifying
-3(m + -4) = 5(3m + 2)

Reorder the terms:
-3(-4 + m) = 5(3m + 2)
(-4 * -3 + m * -3) = 5(3m + 2)
(12 + -3m) = 5(3m + 2)

Reorder the terms:
12 + -3m = 5(2 + 3m)
12 + -3m = (2 * 5 + 3m * 5)
12 + -3m = (10 + 15m)

Solving
12 + -3m = 10 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
12 + -3m + -15m = 10 + 15m + -15m

Combine like terms: -3m + -15m = -18m
12 + -18m = 10 + 15m + -15m

Combine like terms: 15m + -15m = 0
12 + -18m = 10 + 0
12 + -18m = 10

Add '-12' to each side of the equation.
12 + -12 + -18m = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -18m = 10 + -12
-18m = 10 + -12

Combine like terms: 10 + -12 = -2
-18m = -2

Divide each side by '-18'.
m = 0.1111111111

Simplifying
m = 0.1111111111

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