5m+9=3(m-6)+7

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Solution for 5m+9=3(m-6)+7 equation: 


Simplifying
5m + 9 = 3(m + -6) + 7

Reorder the terms:
9 + 5m = 3(m + -6) + 7

Reorder the terms:
9 + 5m = 3(-6 + m) + 7
9 + 5m = (-6 * 3 + m * 3) + 7
9 + 5m = (-18 + 3m) + 7

Reorder the terms:
9 + 5m = -18 + 7 + 3m

Combine like terms: -18 + 7 = -11
9 + 5m = -11 + 3m

Solving
9 + 5m = -11 + 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.
9 + 5m + -3m = -11 + 3m + -3m

Combine like terms: 5m + -3m = 2m
9 + 2m = -11 + 3m + -3m

Combine like terms: 3m + -3m = 0
9 + 2m = -11 + 0
9 + 2m = -11

Add '-9' to each side of the equation.
9 + -9 + 2m = -11 + -9

Combine like terms: 9 + -9 = 0
0 + 2m = -11 + -9
2m = -11 + -9

Combine like terms: -11 + -9 = -20
2m = -20

Divide each side by '2'.
m = -10

Simplifying
m = -10

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