3(m+5)=4(4m-6)

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Solution for 3(m+5)=4(4m-6) equation: 


Simplifying
3(m + 5) = 4(4m + -6)

Reorder the terms:
3(5 + m) = 4(4m + -6)
(5 * 3 + m * 3) = 4(4m + -6)
(15 + 3m) = 4(4m + -6)

Reorder the terms:
15 + 3m = 4(-6 + 4m)
15 + 3m = (-6 * 4 + 4m * 4)
15 + 3m = (-24 + 16m)

Solving
15 + 3m = -24 + 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.
15 + 3m + -16m = -24 + 16m + -16m

Combine like terms: 3m + -16m = -13m
15 + -13m = -24 + 16m + -16m

Combine like terms: 16m + -16m = 0
15 + -13m = -24 + 0
15 + -13m = -24

Add '-15' to each side of the equation.
15 + -15 + -13m = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -13m = -24 + -15
-13m = -24 + -15

Combine like terms: -24 + -15 = -39
-13m = -39

Divide each side by '-13'.
m = 3

Simplifying
m = 3

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