-4m+18-6(m-1)=8m-(2m-5)-7m+1

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Solution for -4m+18-6(m-1)=8m-(2m-5)-7m+1 equation: 


Simplifying
-4m + 18 + -6(m + -1) = 8m + -1(2m + -5) + -7m + 1

Reorder the terms:
-4m + 18 + -6(-1 + m) = 8m + -1(2m + -5) + -7m + 1
-4m + 18 + (-1 * -6 + m * -6) = 8m + -1(2m + -5) + -7m + 1
-4m + 18 + (6 + -6m) = 8m + -1(2m + -5) + -7m + 1

Reorder the terms:
18 + 6 + -4m + -6m = 8m + -1(2m + -5) + -7m + 1

Combine like terms: 18 + 6 = 24
24 + -4m + -6m = 8m + -1(2m + -5) + -7m + 1

Combine like terms: -4m + -6m = -10m
24 + -10m = 8m + -1(2m + -5) + -7m + 1

Reorder the terms:
24 + -10m = 8m + -1(-5 + 2m) + -7m + 1
24 + -10m = 8m + (-5 * -1 + 2m * -1) + -7m + 1
24 + -10m = 8m + (5 + -2m) + -7m + 1

Reorder the terms:
24 + -10m = 5 + 1 + 8m + -2m + -7m

Combine like terms: 5 + 1 = 6
24 + -10m = 6 + 8m + -2m + -7m

Combine like terms: 8m + -2m = 6m
24 + -10m = 6 + 6m + -7m

Combine like terms: 6m + -7m = -1m
24 + -10m = 6 + -1m

Solving
24 + -10m = 6 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
24 + -10m + m = 6 + -1m + m

Combine like terms: -10m + m = -9m
24 + -9m = 6 + -1m + m

Combine like terms: -1m + m = 0
24 + -9m = 6 + 0
24 + -9m = 6

Add '-24' to each side of the equation.
24 + -24 + -9m = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -9m = 6 + -24
-9m = 6 + -24

Combine like terms: 6 + -24 = -18
-9m = -18

Divide each side by '-9'.
m = 2

Simplifying
m = 2

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