9(2m-3)-8=4m+7

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Solution for 9(2m-3)-8=4m+7 equation:


Simplifying
9(2m + -3) + -8 = 4m + 7

Reorder the terms:
9(-3 + 2m) + -8 = 4m + 7
(-3 * 9 + 2m * 9) + -8 = 4m + 7
(-27 + 18m) + -8 = 4m + 7

Reorder the terms:
-27 + -8 + 18m = 4m + 7

Combine like terms: -27 + -8 = -35
-35 + 18m = 4m + 7

Reorder the terms:
-35 + 18m = 7 + 4m

Solving
-35 + 18m = 7 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-35 + 18m + -4m = 7 + 4m + -4m

Combine like terms: 18m + -4m = 14m
-35 + 14m = 7 + 4m + -4m

Combine like terms: 4m + -4m = 0
-35 + 14m = 7 + 0
-35 + 14m = 7

Add '35' to each side of the equation.
-35 + 35 + 14m = 7 + 35

Combine like terms: -35 + 35 = 0
0 + 14m = 7 + 35
14m = 7 + 35

Combine like terms: 7 + 35 = 42
14m = 42

Divide each side by '14'.
m = 3

Simplifying
m = 3

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