-5(m+9)+7=3m+12

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Solution for -5(m+9)+7=3m+12 equation:


Simplifying
-5(m + 9) + 7 = 3m + 12

Reorder the terms:
-5(9 + m) + 7 = 3m + 12
(9 * -5 + m * -5) + 7 = 3m + 12
(-45 + -5m) + 7 = 3m + 12

Reorder the terms:
-45 + 7 + -5m = 3m + 12

Combine like terms: -45 + 7 = -38
-38 + -5m = 3m + 12

Reorder the terms:
-38 + -5m = 12 + 3m

Solving
-38 + -5m = 12 + 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.
-38 + -5m + -3m = 12 + 3m + -3m

Combine like terms: -5m + -3m = -8m
-38 + -8m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
-38 + -8m = 12 + 0
-38 + -8m = 12

Add '38' to each side of the equation.
-38 + 38 + -8m = 12 + 38

Combine like terms: -38 + 38 = 0
0 + -8m = 12 + 38
-8m = 12 + 38

Combine like terms: 12 + 38 = 50
-8m = 50

Divide each side by '-8'.
m = -6.25

Simplifying
m = -6.25

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