3(m+15)-6=3(2m+3)

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Solution for 3(m+15)-6=3(2m+3) equation: 


Simplifying
3(m + 15) + -6 = 3(2m + 3)

Reorder the terms:
3(15 + m) + -6 = 3(2m + 3)
(15 * 3 + m * 3) + -6 = 3(2m + 3)
(45 + 3m) + -6 = 3(2m + 3)

Reorder the terms:
45 + -6 + 3m = 3(2m + 3)

Combine like terms: 45 + -6 = 39
39 + 3m = 3(2m + 3)

Reorder the terms:
39 + 3m = 3(3 + 2m)
39 + 3m = (3 * 3 + 2m * 3)
39 + 3m = (9 + 6m)

Solving
39 + 3m = 9 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
39 + 3m + -6m = 9 + 6m + -6m

Combine like terms: 3m + -6m = -3m
39 + -3m = 9 + 6m + -6m

Combine like terms: 6m + -6m = 0
39 + -3m = 9 + 0
39 + -3m = 9

Add '-39' to each side of the equation.
39 + -39 + -3m = 9 + -39

Combine like terms: 39 + -39 = 0
0 + -3m = 9 + -39
-3m = 9 + -39

Combine like terms: 9 + -39 = -30
-3m = -30

Divide each side by '-3'.
m = 10

Simplifying
m = 10

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