-4m-22-7(m-2)=2m-(8m-1)-9m+3

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Solution for -4m-22-7(m-2)=2m-(8m-1)-9m+3 equation:


Simplifying
-4m + -22 + -7(m + -2) = 2m + -1(8m + -1) + -9m + 3

Reorder the terms:
-4m + -22 + -7(-2 + m) = 2m + -1(8m + -1) + -9m + 3
-4m + -22 + (-2 * -7 + m * -7) = 2m + -1(8m + -1) + -9m + 3
-4m + -22 + (14 + -7m) = 2m + -1(8m + -1) + -9m + 3

Reorder the terms:
-22 + 14 + -4m + -7m = 2m + -1(8m + -1) + -9m + 3

Combine like terms: -22 + 14 = -8
-8 + -4m + -7m = 2m + -1(8m + -1) + -9m + 3

Combine like terms: -4m + -7m = -11m
-8 + -11m = 2m + -1(8m + -1) + -9m + 3

Reorder the terms:
-8 + -11m = 2m + -1(-1 + 8m) + -9m + 3
-8 + -11m = 2m + (-1 * -1 + 8m * -1) + -9m + 3
-8 + -11m = 2m + (1 + -8m) + -9m + 3

Reorder the terms:
-8 + -11m = 1 + 3 + 2m + -8m + -9m

Combine like terms: 1 + 3 = 4
-8 + -11m = 4 + 2m + -8m + -9m

Combine like terms: 2m + -8m = -6m
-8 + -11m = 4 + -6m + -9m

Combine like terms: -6m + -9m = -15m
-8 + -11m = 4 + -15m

Solving
-8 + -11m = 4 + -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.
-8 + -11m + 15m = 4 + -15m + 15m

Combine like terms: -11m + 15m = 4m
-8 + 4m = 4 + -15m + 15m

Combine like terms: -15m + 15m = 0
-8 + 4m = 4 + 0
-8 + 4m = 4

Add '8' to each side of the equation.
-8 + 8 + 4m = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 4m = 4 + 8
4m = 4 + 8

Combine like terms: 4 + 8 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3

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