4m+5-3(2m-5)=9-(8m-1)+m

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Solution for 4m+5-3(2m-5)=9-(8m-1)+m equation:


Simplifying
4m + 5 + -3(2m + -5) = 9 + -1(8m + -1) + m

Reorder the terms:
4m + 5 + -3(-5 + 2m) = 9 + -1(8m + -1) + m
4m + 5 + (-5 * -3 + 2m * -3) = 9 + -1(8m + -1) + m
4m + 5 + (15 + -6m) = 9 + -1(8m + -1) + m

Reorder the terms:
5 + 15 + 4m + -6m = 9 + -1(8m + -1) + m

Combine like terms: 5 + 15 = 20
20 + 4m + -6m = 9 + -1(8m + -1) + m

Combine like terms: 4m + -6m = -2m
20 + -2m = 9 + -1(8m + -1) + m

Reorder the terms:
20 + -2m = 9 + -1(-1 + 8m) + m
20 + -2m = 9 + (-1 * -1 + 8m * -1) + m
20 + -2m = 9 + (1 + -8m) + m

Combine like terms: 9 + 1 = 10
20 + -2m = 10 + -8m + m

Combine like terms: -8m + m = -7m
20 + -2m = 10 + -7m

Solving
20 + -2m = 10 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
20 + -2m + 7m = 10 + -7m + 7m

Combine like terms: -2m + 7m = 5m
20 + 5m = 10 + -7m + 7m

Combine like terms: -7m + 7m = 0
20 + 5m = 10 + 0
20 + 5m = 10

Add '-20' to each side of the equation.
20 + -20 + 5m = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 5m = 10 + -20
5m = 10 + -20

Combine like terms: 10 + -20 = -10
5m = -10

Divide each side by '5'.
m = -2

Simplifying
m = -2

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