-7m+46-6(m-5)=9m-(8m-3)-3m+7

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Solution for -7m+46-6(m-5)=9m-(8m-3)-3m+7 equation: 


Simplifying
-7m + 46 + -6(m + -5) = 9m + -1(8m + -3) + -3m + 7

Reorder the terms:
-7m + 46 + -6(-5 + m) = 9m + -1(8m + -3) + -3m + 7
-7m + 46 + (-5 * -6 + m * -6) = 9m + -1(8m + -3) + -3m + 7
-7m + 46 + (30 + -6m) = 9m + -1(8m + -3) + -3m + 7

Reorder the terms:
46 + 30 + -7m + -6m = 9m + -1(8m + -3) + -3m + 7

Combine like terms: 46 + 30 = 76
76 + -7m + -6m = 9m + -1(8m + -3) + -3m + 7

Combine like terms: -7m + -6m = -13m
76 + -13m = 9m + -1(8m + -3) + -3m + 7

Reorder the terms:
76 + -13m = 9m + -1(-3 + 8m) + -3m + 7
76 + -13m = 9m + (-3 * -1 + 8m * -1) + -3m + 7
76 + -13m = 9m + (3 + -8m) + -3m + 7

Reorder the terms:
76 + -13m = 3 + 7 + 9m + -8m + -3m

Combine like terms: 3 + 7 = 10
76 + -13m = 10 + 9m + -8m + -3m

Combine like terms: 9m + -8m = 1m
76 + -13m = 10 + 1m + -3m

Combine like terms: 1m + -3m = -2m
76 + -13m = 10 + -2m

Solving
76 + -13m = 10 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
76 + -13m + 2m = 10 + -2m + 2m

Combine like terms: -13m + 2m = -11m
76 + -11m = 10 + -2m + 2m

Combine like terms: -2m + 2m = 0
76 + -11m = 10 + 0
76 + -11m = 10

Add '-76' to each side of the equation.
76 + -76 + -11m = 10 + -76

Combine like terms: 76 + -76 = 0
0 + -11m = 10 + -76
-11m = 10 + -76

Combine like terms: 10 + -76 = -66
-11m = -66

Divide each side by '-11'.
m = 6

Simplifying
m = 6

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