-3m-27-4(m-3)=4m-(6m-4)-9m+5

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Solution for -3m-27-4(m-3)=4m-(6m-4)-9m+5 equation:


Simplifying
-3m + -27 + -4(m + -3) = 4m + -1(6m + -4) + -9m + 5

Reorder the terms:
-3m + -27 + -4(-3 + m) = 4m + -1(6m + -4) + -9m + 5
-3m + -27 + (-3 * -4 + m * -4) = 4m + -1(6m + -4) + -9m + 5
-3m + -27 + (12 + -4m) = 4m + -1(6m + -4) + -9m + 5

Reorder the terms:
-27 + 12 + -3m + -4m = 4m + -1(6m + -4) + -9m + 5

Combine like terms: -27 + 12 = -15
-15 + -3m + -4m = 4m + -1(6m + -4) + -9m + 5

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

Reorder the terms:
-15 + -7m = 4m + -1(-4 + 6m) + -9m + 5
-15 + -7m = 4m + (-4 * -1 + 6m * -1) + -9m + 5
-15 + -7m = 4m + (4 + -6m) + -9m + 5

Reorder the terms:
-15 + -7m = 4 + 5 + 4m + -6m + -9m

Combine like terms: 4 + 5 = 9
-15 + -7m = 9 + 4m + -6m + -9m

Combine like terms: 4m + -6m = -2m
-15 + -7m = 9 + -2m + -9m

Combine like terms: -2m + -9m = -11m
-15 + -7m = 9 + -11m

Solving
-15 + -7m = 9 + -11m

Solving for variable 'm'.

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

Add '11m' to each side of the equation.
-15 + -7m + 11m = 9 + -11m + 11m

Combine like terms: -7m + 11m = 4m
-15 + 4m = 9 + -11m + 11m

Combine like terms: -11m + 11m = 0
-15 + 4m = 9 + 0
-15 + 4m = 9

Add '15' to each side of the equation.
-15 + 15 + 4m = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 4m = 9 + 15
4m = 9 + 15

Combine like terms: 9 + 15 = 24
4m = 24

Divide each side by '4'.
m = 6

Simplifying
m = 6

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