-7m+28-8(m-2)=4m-(3m-9)-6m+5

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Solution for -7m+28-8(m-2)=4m-(3m-9)-6m+5 equation:


Simplifying
-7m + 28 + -8(m + -2) = 4m + -1(3m + -9) + -6m + 5

Reorder the terms:
-7m + 28 + -8(-2 + m) = 4m + -1(3m + -9) + -6m + 5
-7m + 28 + (-2 * -8 + m * -8) = 4m + -1(3m + -9) + -6m + 5
-7m + 28 + (16 + -8m) = 4m + -1(3m + -9) + -6m + 5

Reorder the terms:
28 + 16 + -7m + -8m = 4m + -1(3m + -9) + -6m + 5

Combine like terms: 28 + 16 = 44
44 + -7m + -8m = 4m + -1(3m + -9) + -6m + 5

Combine like terms: -7m + -8m = -15m
44 + -15m = 4m + -1(3m + -9) + -6m + 5

Reorder the terms:
44 + -15m = 4m + -1(-9 + 3m) + -6m + 5
44 + -15m = 4m + (-9 * -1 + 3m * -1) + -6m + 5
44 + -15m = 4m + (9 + -3m) + -6m + 5

Reorder the terms:
44 + -15m = 9 + 5 + 4m + -3m + -6m

Combine like terms: 9 + 5 = 14
44 + -15m = 14 + 4m + -3m + -6m

Combine like terms: 4m + -3m = 1m
44 + -15m = 14 + 1m + -6m

Combine like terms: 1m + -6m = -5m
44 + -15m = 14 + -5m

Solving
44 + -15m = 14 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
44 + -15m + 5m = 14 + -5m + 5m

Combine like terms: -15m + 5m = -10m
44 + -10m = 14 + -5m + 5m

Combine like terms: -5m + 5m = 0
44 + -10m = 14 + 0
44 + -10m = 14

Add '-44' to each side of the equation.
44 + -44 + -10m = 14 + -44

Combine like terms: 44 + -44 = 0
0 + -10m = 14 + -44
-10m = 14 + -44

Combine like terms: 14 + -44 = -30
-10m = -30

Divide each side by '-10'.
m = 3

Simplifying
m = 3

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