-8+5m-3=-6(5-m)-8(m+2)

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Solution for -8+5m-3=-6(5-m)-8(m+2) equation:


Simplifying
-8 + 5m + -3 = -6(5 + -1m) + -8(m + 2)

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

Combine like terms: -8 + -3 = -11
-11 + 5m = -6(5 + -1m) + -8(m + 2)
-11 + 5m = (5 * -6 + -1m * -6) + -8(m + 2)
-11 + 5m = (-30 + 6m) + -8(m + 2)

Reorder the terms:
-11 + 5m = -30 + 6m + -8(2 + m)
-11 + 5m = -30 + 6m + (2 * -8 + m * -8)
-11 + 5m = -30 + 6m + (-16 + -8m)

Reorder the terms:
-11 + 5m = -30 + -16 + 6m + -8m

Combine like terms: -30 + -16 = -46
-11 + 5m = -46 + 6m + -8m

Combine like terms: 6m + -8m = -2m
-11 + 5m = -46 + -2m

Solving
-11 + 5m = -46 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-11 + 5m + 2m = -46 + -2m + 2m

Combine like terms: 5m + 2m = 7m
-11 + 7m = -46 + -2m + 2m

Combine like terms: -2m + 2m = 0
-11 + 7m = -46 + 0
-11 + 7m = -46

Add '11' to each side of the equation.
-11 + 11 + 7m = -46 + 11

Combine like terms: -11 + 11 = 0
0 + 7m = -46 + 11
7m = -46 + 11

Combine like terms: -46 + 11 = -35
7m = -35

Divide each side by '7'.
m = -5

Simplifying
m = -5

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