-4m+27-3(m-6)=9m-(8m-1)-3m+9

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Solution for -4m+27-3(m-6)=9m-(8m-1)-3m+9 equation:


Simplifying
-4m + 27 + -3(m + -6) = 9m + -1(8m + -1) + -3m + 9

Reorder the terms:
-4m + 27 + -3(-6 + m) = 9m + -1(8m + -1) + -3m + 9
-4m + 27 + (-6 * -3 + m * -3) = 9m + -1(8m + -1) + -3m + 9
-4m + 27 + (18 + -3m) = 9m + -1(8m + -1) + -3m + 9

Reorder the terms:
27 + 18 + -4m + -3m = 9m + -1(8m + -1) + -3m + 9

Combine like terms: 27 + 18 = 45
45 + -4m + -3m = 9m + -1(8m + -1) + -3m + 9

Combine like terms: -4m + -3m = -7m
45 + -7m = 9m + -1(8m + -1) + -3m + 9

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

Reorder the terms:
45 + -7m = 1 + 9 + 9m + -8m + -3m

Combine like terms: 1 + 9 = 10
45 + -7m = 10 + 9m + -8m + -3m

Combine like terms: 9m + -8m = 1m
45 + -7m = 10 + 1m + -3m

Combine like terms: 1m + -3m = -2m
45 + -7m = 10 + -2m

Solving
45 + -7m = 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.
45 + -7m + 2m = 10 + -2m + 2m

Combine like terms: -7m + 2m = -5m
45 + -5m = 10 + -2m + 2m

Combine like terms: -2m + 2m = 0
45 + -5m = 10 + 0
45 + -5m = 10

Add '-45' to each side of the equation.
45 + -45 + -5m = 10 + -45

Combine like terms: 45 + -45 = 0
0 + -5m = 10 + -45
-5m = 10 + -45

Combine like terms: 10 + -45 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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