-4m+24-4(m-2)=6m-(2m-1)-5m+6

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Solution for -4m+24-4(m-2)=6m-(2m-1)-5m+6 equation: 


Simplifying
-4m + 24 + -4(m + -2) = 6m + -1(2m + -1) + -5m + 6

Reorder the terms:
-4m + 24 + -4(-2 + m) = 6m + -1(2m + -1) + -5m + 6
-4m + 24 + (-2 * -4 + m * -4) = 6m + -1(2m + -1) + -5m + 6
-4m + 24 + (8 + -4m) = 6m + -1(2m + -1) + -5m + 6

Reorder the terms:
24 + 8 + -4m + -4m = 6m + -1(2m + -1) + -5m + 6

Combine like terms: 24 + 8 = 32
32 + -4m + -4m = 6m + -1(2m + -1) + -5m + 6

Combine like terms: -4m + -4m = -8m
32 + -8m = 6m + -1(2m + -1) + -5m + 6

Reorder the terms:
32 + -8m = 6m + -1(-1 + 2m) + -5m + 6
32 + -8m = 6m + (-1 * -1 + 2m * -1) + -5m + 6
32 + -8m = 6m + (1 + -2m) + -5m + 6

Reorder the terms:
32 + -8m = 1 + 6 + 6m + -2m + -5m

Combine like terms: 1 + 6 = 7
32 + -8m = 7 + 6m + -2m + -5m

Combine like terms: 6m + -2m = 4m
32 + -8m = 7 + 4m + -5m

Combine like terms: 4m + -5m = -1m
32 + -8m = 7 + -1m

Solving
32 + -8m = 7 + -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.
32 + -8m + m = 7 + -1m + m

Combine like terms: -8m + m = -7m
32 + -7m = 7 + -1m + m

Combine like terms: -1m + m = 0
32 + -7m = 7 + 0
32 + -7m = 7

Add '-32' to each side of the equation.
32 + -32 + -7m = 7 + -32

Combine like terms: 32 + -32 = 0
0 + -7m = 7 + -32
-7m = 7 + -32

Combine like terms: 7 + -32 = -25
-7m = -25

Divide each side by '-7'.
m = 3.571428571

Simplifying
m = 3.571428571

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