m+7(2m-4)=5m+32

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Solution for m+7(2m-4)=5m+32 equation:


Simplifying
m + 7(2m + -4) = 5m + 32

Reorder the terms:
m + 7(-4 + 2m) = 5m + 32
m + (-4 * 7 + 2m * 7) = 5m + 32
m + (-28 + 14m) = 5m + 32

Reorder the terms:
-28 + m + 14m = 5m + 32

Combine like terms: m + 14m = 15m
-28 + 15m = 5m + 32

Reorder the terms:
-28 + 15m = 32 + 5m

Solving
-28 + 15m = 32 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-28 + 15m + -5m = 32 + 5m + -5m

Combine like terms: 15m + -5m = 10m
-28 + 10m = 32 + 5m + -5m

Combine like terms: 5m + -5m = 0
-28 + 10m = 32 + 0
-28 + 10m = 32

Add '28' to each side of the equation.
-28 + 28 + 10m = 32 + 28

Combine like terms: -28 + 28 = 0
0 + 10m = 32 + 28
10m = 32 + 28

Combine like terms: 32 + 28 = 60
10m = 60

Divide each side by '10'.
m = 6

Simplifying
m = 6

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