4m-8(-3m+2)+10=5-2(-7m+3)

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Solution for 4m-8(-3m+2)+10=5-2(-7m+3) equation:


Simplifying
4m + -8(-3m + 2) + 10 = 5 + -2(-7m + 3)

Reorder the terms:
4m + -8(2 + -3m) + 10 = 5 + -2(-7m + 3)
4m + (2 * -8 + -3m * -8) + 10 = 5 + -2(-7m + 3)
4m + (-16 + 24m) + 10 = 5 + -2(-7m + 3)

Reorder the terms:
-16 + 10 + 4m + 24m = 5 + -2(-7m + 3)

Combine like terms: -16 + 10 = -6
-6 + 4m + 24m = 5 + -2(-7m + 3)

Combine like terms: 4m + 24m = 28m
-6 + 28m = 5 + -2(-7m + 3)

Reorder the terms:
-6 + 28m = 5 + -2(3 + -7m)
-6 + 28m = 5 + (3 * -2 + -7m * -2)
-6 + 28m = 5 + (-6 + 14m)

Combine like terms: 5 + -6 = -1
-6 + 28m = -1 + 14m

Solving
-6 + 28m = -1 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
-6 + 28m + -14m = -1 + 14m + -14m

Combine like terms: 28m + -14m = 14m
-6 + 14m = -1 + 14m + -14m

Combine like terms: 14m + -14m = 0
-6 + 14m = -1 + 0
-6 + 14m = -1

Add '6' to each side of the equation.
-6 + 6 + 14m = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 14m = -1 + 6
14m = -1 + 6

Combine like terms: -1 + 6 = 5
14m = 5

Divide each side by '14'.
m = 0.3571428571

Simplifying
m = 0.3571428571

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