5m+7+3(4m)=3(m+3)

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Solution for 5m+7+3(4m)=3(m+3) equation:


Simplifying
5m + 7 + 3(4m) = 3(m + 3)

Remove parenthesis around (4m)
5m + 7 + 3 * 4m = 3(m + 3)

Multiply 3 * 4
5m + 7 + 12m = 3(m + 3)

Reorder the terms:
7 + 5m + 12m = 3(m + 3)

Combine like terms: 5m + 12m = 17m
7 + 17m = 3(m + 3)

Reorder the terms:
7 + 17m = 3(3 + m)
7 + 17m = (3 * 3 + m * 3)
7 + 17m = (9 + 3m)

Solving
7 + 17m = 9 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
7 + 17m + -3m = 9 + 3m + -3m

Combine like terms: 17m + -3m = 14m
7 + 14m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + 14m = 9 + 0
7 + 14m = 9

Add '-7' to each side of the equation.
7 + -7 + 14m = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 14m = 9 + -7
14m = 9 + -7

Combine like terms: 9 + -7 = 2
14m = 2

Divide each side by '14'.
m = 0.1428571429

Simplifying
m = 0.1428571429

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