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

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


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

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

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

Reorder the terms:
4 + -8m = -15 + -2 + 3m

Combine like terms: -15 + -2 = -17
4 + -8m = -17 + 3m

Solving
4 + -8m = -17 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
4 + -8m + -3m = -17 + 3m + -3m

Combine like terms: -8m + -3m = -11m
4 + -11m = -17 + 3m + -3m

Combine like terms: 3m + -3m = 0
4 + -11m = -17 + 0
4 + -11m = -17

Add '-4' to each side of the equation.
4 + -4 + -11m = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -11m = -17 + -4
-11m = -17 + -4

Combine like terms: -17 + -4 = -21
-11m = -21

Divide each side by '-11'.
m = 1.909090909

Simplifying
m = 1.909090909

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