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

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


Simplifying
-4(3m + 1) = 5(2 + -3m)

Reorder the terms:
-4(1 + 3m) = 5(2 + -3m)
(1 * -4 + 3m * -4) = 5(2 + -3m)
(-4 + -12m) = 5(2 + -3m)
-4 + -12m = (2 * 5 + -3m * 5)
-4 + -12m = (10 + -15m)

Solving
-4 + -12m = 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.
-4 + -12m + 15m = 10 + -15m + 15m

Combine like terms: -12m + 15m = 3m
-4 + 3m = 10 + -15m + 15m

Combine like terms: -15m + 15m = 0
-4 + 3m = 10 + 0
-4 + 3m = 10

Add '4' to each side of the equation.
-4 + 4 + 3m = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 3m = 10 + 4
3m = 10 + 4

Combine like terms: 10 + 4 = 14
3m = 14

Divide each side by '3'.
m = 4.666666667

Simplifying
m = 4.666666667

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