-7m+28-4(m-3)=6m-(3m-4)-9m+1

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Solution for -7m+28-4(m-3)=6m-(3m-4)-9m+1 equation:


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

Reorder the terms:
-7m + 28 + -4(-3 + m) = 6m + -1(3m + -4) + -9m + 1
-7m + 28 + (-3 * -4 + m * -4) = 6m + -1(3m + -4) + -9m + 1
-7m + 28 + (12 + -4m) = 6m + -1(3m + -4) + -9m + 1

Reorder the terms:
28 + 12 + -7m + -4m = 6m + -1(3m + -4) + -9m + 1

Combine like terms: 28 + 12 = 40
40 + -7m + -4m = 6m + -1(3m + -4) + -9m + 1

Combine like terms: -7m + -4m = -11m
40 + -11m = 6m + -1(3m + -4) + -9m + 1

Reorder the terms:
40 + -11m = 6m + -1(-4 + 3m) + -9m + 1
40 + -11m = 6m + (-4 * -1 + 3m * -1) + -9m + 1
40 + -11m = 6m + (4 + -3m) + -9m + 1

Reorder the terms:
40 + -11m = 4 + 1 + 6m + -3m + -9m

Combine like terms: 4 + 1 = 5
40 + -11m = 5 + 6m + -3m + -9m

Combine like terms: 6m + -3m = 3m
40 + -11m = 5 + 3m + -9m

Combine like terms: 3m + -9m = -6m
40 + -11m = 5 + -6m

Solving
40 + -11m = 5 + -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.
40 + -11m + 6m = 5 + -6m + 6m

Combine like terms: -11m + 6m = -5m
40 + -5m = 5 + -6m + 6m

Combine like terms: -6m + 6m = 0
40 + -5m = 5 + 0
40 + -5m = 5

Add '-40' to each side of the equation.
40 + -40 + -5m = 5 + -40

Combine like terms: 40 + -40 = 0
0 + -5m = 5 + -40
-5m = 5 + -40

Combine like terms: 5 + -40 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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