8=6(m-5)-4(m-9)

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Solution for 8=6(m-5)-4(m-9) equation:


Simplifying
8 = 6(m + -5) + -4(m + -9)

Reorder the terms:
8 = 6(-5 + m) + -4(m + -9)
8 = (-5 * 6 + m * 6) + -4(m + -9)
8 = (-30 + 6m) + -4(m + -9)

Reorder the terms:
8 = -30 + 6m + -4(-9 + m)
8 = -30 + 6m + (-9 * -4 + m * -4)
8 = -30 + 6m + (36 + -4m)

Reorder the terms:
8 = -30 + 36 + 6m + -4m

Combine like terms: -30 + 36 = 6
8 = 6 + 6m + -4m

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

Solving
8 = 6 + 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.
8 + -2m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
8 + -2m = 6 + 0
8 + -2m = 6

Add '-8' to each side of the equation.
8 + -8 + -2m = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -2m = 6 + -8
-2m = 6 + -8

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

Divide each side by '-2'.
m = 1

Simplifying
m = 1

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