-4m+6-5(m-2)=5m-(3m-9)-9m+1

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Solution for -4m+6-5(m-2)=5m-(3m-9)-9m+1 equation: 


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

Reorder the terms:
-4m + 6 + -5(-2 + m) = 5m + -1(3m + -9) + -9m + 1
-4m + 6 + (-2 * -5 + m * -5) = 5m + -1(3m + -9) + -9m + 1
-4m + 6 + (10 + -5m) = 5m + -1(3m + -9) + -9m + 1

Reorder the terms:
6 + 10 + -4m + -5m = 5m + -1(3m + -9) + -9m + 1

Combine like terms: 6 + 10 = 16
16 + -4m + -5m = 5m + -1(3m + -9) + -9m + 1

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

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

Reorder the terms:
16 + -9m = 9 + 1 + 5m + -3m + -9m

Combine like terms: 9 + 1 = 10
16 + -9m = 10 + 5m + -3m + -9m

Combine like terms: 5m + -3m = 2m
16 + -9m = 10 + 2m + -9m

Combine like terms: 2m + -9m = -7m
16 + -9m = 10 + -7m

Solving
16 + -9m = 10 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
16 + -9m + 7m = 10 + -7m + 7m

Combine like terms: -9m + 7m = -2m
16 + -2m = 10 + -7m + 7m

Combine like terms: -7m + 7m = 0
16 + -2m = 10 + 0
16 + -2m = 10

Add '-16' to each side of the equation.
16 + -16 + -2m = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = 10 + -16
-2m = 10 + -16

Combine like terms: 10 + -16 = -6
-2m = -6

Divide each side by '-2'.
m = 3

Simplifying
m = 3

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