-6m+26-4(m-4)=5m-(8m-5)-3m+9

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Solution for -6m+26-4(m-4)=5m-(8m-5)-3m+9 equation:


Simplifying
-6m + 26 + -4(m + -4) = 5m + -1(8m + -5) + -3m + 9

Reorder the terms:
-6m + 26 + -4(-4 + m) = 5m + -1(8m + -5) + -3m + 9
-6m + 26 + (-4 * -4 + m * -4) = 5m + -1(8m + -5) + -3m + 9
-6m + 26 + (16 + -4m) = 5m + -1(8m + -5) + -3m + 9

Reorder the terms:
26 + 16 + -6m + -4m = 5m + -1(8m + -5) + -3m + 9

Combine like terms: 26 + 16 = 42
42 + -6m + -4m = 5m + -1(8m + -5) + -3m + 9

Combine like terms: -6m + -4m = -10m
42 + -10m = 5m + -1(8m + -5) + -3m + 9

Reorder the terms:
42 + -10m = 5m + -1(-5 + 8m) + -3m + 9
42 + -10m = 5m + (-5 * -1 + 8m * -1) + -3m + 9
42 + -10m = 5m + (5 + -8m) + -3m + 9

Reorder the terms:
42 + -10m = 5 + 9 + 5m + -8m + -3m

Combine like terms: 5 + 9 = 14
42 + -10m = 14 + 5m + -8m + -3m

Combine like terms: 5m + -8m = -3m
42 + -10m = 14 + -3m + -3m

Combine like terms: -3m + -3m = -6m
42 + -10m = 14 + -6m

Solving
42 + -10m = 14 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
42 + -10m + 6m = 14 + -6m + 6m

Combine like terms: -10m + 6m = -4m
42 + -4m = 14 + -6m + 6m

Combine like terms: -6m + 6m = 0
42 + -4m = 14 + 0
42 + -4m = 14

Add '-42' to each side of the equation.
42 + -42 + -4m = 14 + -42

Combine like terms: 42 + -42 = 0
0 + -4m = 14 + -42
-4m = 14 + -42

Combine like terms: 14 + -42 = -28
-4m = -28

Divide each side by '-4'.
m = 7

Simplifying
m = 7

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