-9(m+8)+6(-2m-5)=-22(m+6)+9

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Solution for -9(m+8)+6(-2m-5)=-22(m+6)+9 equation:


Simplifying
-9(m + 8) + 6(-2m + -5) = -22(m + 6) + 9

Reorder the terms:
-9(8 + m) + 6(-2m + -5) = -22(m + 6) + 9
(8 * -9 + m * -9) + 6(-2m + -5) = -22(m + 6) + 9
(-72 + -9m) + 6(-2m + -5) = -22(m + 6) + 9

Reorder the terms:
-72 + -9m + 6(-5 + -2m) = -22(m + 6) + 9
-72 + -9m + (-5 * 6 + -2m * 6) = -22(m + 6) + 9
-72 + -9m + (-30 + -12m) = -22(m + 6) + 9

Reorder the terms:
-72 + -30 + -9m + -12m = -22(m + 6) + 9

Combine like terms: -72 + -30 = -102
-102 + -9m + -12m = -22(m + 6) + 9

Combine like terms: -9m + -12m = -21m
-102 + -21m = -22(m + 6) + 9

Reorder the terms:
-102 + -21m = -22(6 + m) + 9
-102 + -21m = (6 * -22 + m * -22) + 9
-102 + -21m = (-132 + -22m) + 9

Reorder the terms:
-102 + -21m = -132 + 9 + -22m

Combine like terms: -132 + 9 = -123
-102 + -21m = -123 + -22m

Solving
-102 + -21m = -123 + -22m

Solving for variable 'm'.

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

Add '22m' to each side of the equation.
-102 + -21m + 22m = -123 + -22m + 22m

Combine like terms: -21m + 22m = 1m
-102 + 1m = -123 + -22m + 22m

Combine like terms: -22m + 22m = 0
-102 + 1m = -123 + 0
-102 + 1m = -123

Add '102' to each side of the equation.
-102 + 102 + 1m = -123 + 102

Combine like terms: -102 + 102 = 0
0 + 1m = -123 + 102
1m = -123 + 102

Combine like terms: -123 + 102 = -21
1m = -21

Divide each side by '1'.
m = -21

Simplifying
m = -21

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