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

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Solution for -5m+28-5(m-2)=7m-(6m-9)-4m+1 equation: 


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

Reorder the terms:
-5m + 28 + -5(-2 + m) = 7m + -1(6m + -9) + -4m + 1
-5m + 28 + (-2 * -5 + m * -5) = 7m + -1(6m + -9) + -4m + 1
-5m + 28 + (10 + -5m) = 7m + -1(6m + -9) + -4m + 1

Reorder the terms:
28 + 10 + -5m + -5m = 7m + -1(6m + -9) + -4m + 1

Combine like terms: 28 + 10 = 38
38 + -5m + -5m = 7m + -1(6m + -9) + -4m + 1

Combine like terms: -5m + -5m = -10m
38 + -10m = 7m + -1(6m + -9) + -4m + 1

Reorder the terms:
38 + -10m = 7m + -1(-9 + 6m) + -4m + 1
38 + -10m = 7m + (-9 * -1 + 6m * -1) + -4m + 1
38 + -10m = 7m + (9 + -6m) + -4m + 1

Reorder the terms:
38 + -10m = 9 + 1 + 7m + -6m + -4m

Combine like terms: 9 + 1 = 10
38 + -10m = 10 + 7m + -6m + -4m

Combine like terms: 7m + -6m = 1m
38 + -10m = 10 + 1m + -4m

Combine like terms: 1m + -4m = -3m
38 + -10m = 10 + -3m

Solving
38 + -10m = 10 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
38 + -10m + 3m = 10 + -3m + 3m

Combine like terms: -10m + 3m = -7m
38 + -7m = 10 + -3m + 3m

Combine like terms: -3m + 3m = 0
38 + -7m = 10 + 0
38 + -7m = 10

Add '-38' to each side of the equation.
38 + -38 + -7m = 10 + -38

Combine like terms: 38 + -38 = 0
0 + -7m = 10 + -38
-7m = 10 + -38

Combine like terms: 10 + -38 = -28
-7m = -28

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

Simplifying
m = 4

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