-8m+97-9(m-5)=9m-(2m-7)-3m+9

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Solution for -8m+97-9(m-5)=9m-(2m-7)-3m+9 equation: 


Simplifying
-8m + 97 + -9(m + -5) = 9m + -1(2m + -7) + -3m + 9

Reorder the terms:
-8m + 97 + -9(-5 + m) = 9m + -1(2m + -7) + -3m + 9
-8m + 97 + (-5 * -9 + m * -9) = 9m + -1(2m + -7) + -3m + 9
-8m + 97 + (45 + -9m) = 9m + -1(2m + -7) + -3m + 9

Reorder the terms:
97 + 45 + -8m + -9m = 9m + -1(2m + -7) + -3m + 9

Combine like terms: 97 + 45 = 142
142 + -8m + -9m = 9m + -1(2m + -7) + -3m + 9

Combine like terms: -8m + -9m = -17m
142 + -17m = 9m + -1(2m + -7) + -3m + 9

Reorder the terms:
142 + -17m = 9m + -1(-7 + 2m) + -3m + 9
142 + -17m = 9m + (-7 * -1 + 2m * -1) + -3m + 9
142 + -17m = 9m + (7 + -2m) + -3m + 9

Reorder the terms:
142 + -17m = 7 + 9 + 9m + -2m + -3m

Combine like terms: 7 + 9 = 16
142 + -17m = 16 + 9m + -2m + -3m

Combine like terms: 9m + -2m = 7m
142 + -17m = 16 + 7m + -3m

Combine like terms: 7m + -3m = 4m
142 + -17m = 16 + 4m

Solving
142 + -17m = 16 + 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.
142 + -17m + -4m = 16 + 4m + -4m

Combine like terms: -17m + -4m = -21m
142 + -21m = 16 + 4m + -4m

Combine like terms: 4m + -4m = 0
142 + -21m = 16 + 0
142 + -21m = 16

Add '-142' to each side of the equation.
142 + -142 + -21m = 16 + -142

Combine like terms: 142 + -142 = 0
0 + -21m = 16 + -142
-21m = 16 + -142

Combine like terms: 16 + -142 = -126
-21m = -126

Divide each side by '-21'.
m = 6

Simplifying
m = 6

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