(m-5)9-m=5+3(5m+2)

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Solution for (m-5)9-m=5+3(5m+2) equation:


Simplifying
(m + -5) * 9 + -1m = 5 + 3(5m + 2)

Reorder the terms:
(-5 + m) * 9 + -1m = 5 + 3(5m + 2)

Reorder the terms for easier multiplication:
9(-5 + m) + -1m = 5 + 3(5m + 2)
(-5 * 9 + m * 9) + -1m = 5 + 3(5m + 2)
(-45 + 9m) + -1m = 5 + 3(5m + 2)

Combine like terms: 9m + -1m = 8m
-45 + 8m = 5 + 3(5m + 2)

Reorder the terms:
-45 + 8m = 5 + 3(2 + 5m)
-45 + 8m = 5 + (2 * 3 + 5m * 3)
-45 + 8m = 5 + (6 + 15m)

Combine like terms: 5 + 6 = 11
-45 + 8m = 11 + 15m

Solving
-45 + 8m = 11 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
-45 + 8m + -15m = 11 + 15m + -15m

Combine like terms: 8m + -15m = -7m
-45 + -7m = 11 + 15m + -15m

Combine like terms: 15m + -15m = 0
-45 + -7m = 11 + 0
-45 + -7m = 11

Add '45' to each side of the equation.
-45 + 45 + -7m = 11 + 45

Combine like terms: -45 + 45 = 0
0 + -7m = 11 + 45
-7m = 11 + 45

Combine like terms: 11 + 45 = 56
-7m = 56

Divide each side by '-7'.
m = -8

Simplifying
m = -8

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