3(2m+5)+4m=45

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Solution for 3(2m+5)+4m=45 equation: 


Simplifying
3(2m + 5) + 4m = 45

Reorder the terms:
3(5 + 2m) + 4m = 45
(5 * 3 + 2m * 3) + 4m = 45
(15 + 6m) + 4m = 45

Combine like terms: 6m + 4m = 10m
15 + 10m = 45

Solving
15 + 10m = 45

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + -15 + 10m = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 10m = 45 + -15
10m = 45 + -15

Combine like terms: 45 + -15 = 30
10m = 30

Divide each side by '10'.
m = 3

Simplifying
m = 3

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