7m+20-5(m-1)=6m-(8m-5)-2m+4

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Solution for 7m+20-5(m-1)=6m-(8m-5)-2m+4 equation:


Simplifying
7m + 20 + -5(m + -1) = 6m + -1(8m + -5) + -2m + 4

Reorder the terms:
7m + 20 + -5(-1 + m) = 6m + -1(8m + -5) + -2m + 4
7m + 20 + (-1 * -5 + m * -5) = 6m + -1(8m + -5) + -2m + 4
7m + 20 + (5 + -5m) = 6m + -1(8m + -5) + -2m + 4

Reorder the terms:
20 + 5 + 7m + -5m = 6m + -1(8m + -5) + -2m + 4

Combine like terms: 20 + 5 = 25
25 + 7m + -5m = 6m + -1(8m + -5) + -2m + 4

Combine like terms: 7m + -5m = 2m
25 + 2m = 6m + -1(8m + -5) + -2m + 4

Reorder the terms:
25 + 2m = 6m + -1(-5 + 8m) + -2m + 4
25 + 2m = 6m + (-5 * -1 + 8m * -1) + -2m + 4
25 + 2m = 6m + (5 + -8m) + -2m + 4

Reorder the terms:
25 + 2m = 5 + 4 + 6m + -8m + -2m

Combine like terms: 5 + 4 = 9
25 + 2m = 9 + 6m + -8m + -2m

Combine like terms: 6m + -8m = -2m
25 + 2m = 9 + -2m + -2m

Combine like terms: -2m + -2m = -4m
25 + 2m = 9 + -4m

Solving
25 + 2m = 9 + -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.
25 + 2m + 4m = 9 + -4m + 4m

Combine like terms: 2m + 4m = 6m
25 + 6m = 9 + -4m + 4m

Combine like terms: -4m + 4m = 0
25 + 6m = 9 + 0
25 + 6m = 9

Add '-25' to each side of the equation.
25 + -25 + 6m = 9 + -25

Combine like terms: 25 + -25 = 0
0 + 6m = 9 + -25
6m = 9 + -25

Combine like terms: 9 + -25 = -16
6m = -16

Divide each side by '6'.
m = -2.666666667

Simplifying
m = -2.666666667

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