8-6(m-3)+4=4(m+7)

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Solution for 8-6(m-3)+4=4(m+7) equation:


Simplifying
8 + -6(m + -3) + 4 = 4(m + 7)

Reorder the terms:
8 + -6(-3 + m) + 4 = 4(m + 7)
8 + (-3 * -6 + m * -6) + 4 = 4(m + 7)
8 + (18 + -6m) + 4 = 4(m + 7)

Reorder the terms:
8 + 18 + 4 + -6m = 4(m + 7)

Combine like terms: 8 + 18 = 26
26 + 4 + -6m = 4(m + 7)

Combine like terms: 26 + 4 = 30
30 + -6m = 4(m + 7)

Reorder the terms:
30 + -6m = 4(7 + m)
30 + -6m = (7 * 4 + m * 4)
30 + -6m = (28 + 4m)

Solving
30 + -6m = 28 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
30 + -6m + -4m = 28 + 4m + -4m

Combine like terms: -6m + -4m = -10m
30 + -10m = 28 + 4m + -4m

Combine like terms: 4m + -4m = 0
30 + -10m = 28 + 0
30 + -10m = 28

Add '-30' to each side of the equation.
30 + -30 + -10m = 28 + -30

Combine like terms: 30 + -30 = 0
0 + -10m = 28 + -30
-10m = 28 + -30

Combine like terms: 28 + -30 = -2
-10m = -2

Divide each side by '-10'.
m = 0.2

Simplifying
m = 0.2

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