-7m+22-4(m-1)=6m-(2m-3)-8m+2

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Solution for -7m+22-4(m-1)=6m-(2m-3)-8m+2 equation: 


Simplifying
-7m + 22 + -4(m + -1) = 6m + -1(2m + -3) + -8m + 2

Reorder the terms:
-7m + 22 + -4(-1 + m) = 6m + -1(2m + -3) + -8m + 2
-7m + 22 + (-1 * -4 + m * -4) = 6m + -1(2m + -3) + -8m + 2
-7m + 22 + (4 + -4m) = 6m + -1(2m + -3) + -8m + 2

Reorder the terms:
22 + 4 + -7m + -4m = 6m + -1(2m + -3) + -8m + 2

Combine like terms: 22 + 4 = 26
26 + -7m + -4m = 6m + -1(2m + -3) + -8m + 2

Combine like terms: -7m + -4m = -11m
26 + -11m = 6m + -1(2m + -3) + -8m + 2

Reorder the terms:
26 + -11m = 6m + -1(-3 + 2m) + -8m + 2
26 + -11m = 6m + (-3 * -1 + 2m * -1) + -8m + 2
26 + -11m = 6m + (3 + -2m) + -8m + 2

Reorder the terms:
26 + -11m = 3 + 2 + 6m + -2m + -8m

Combine like terms: 3 + 2 = 5
26 + -11m = 5 + 6m + -2m + -8m

Combine like terms: 6m + -2m = 4m
26 + -11m = 5 + 4m + -8m

Combine like terms: 4m + -8m = -4m
26 + -11m = 5 + -4m

Solving
26 + -11m = 5 + -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.
26 + -11m + 4m = 5 + -4m + 4m

Combine like terms: -11m + 4m = -7m
26 + -7m = 5 + -4m + 4m

Combine like terms: -4m + 4m = 0
26 + -7m = 5 + 0
26 + -7m = 5

Add '-26' to each side of the equation.
26 + -26 + -7m = 5 + -26

Combine like terms: 26 + -26 = 0
0 + -7m = 5 + -26
-7m = 5 + -26

Combine like terms: 5 + -26 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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