(2m-6)-(3m-4)=-(-4+m)-4m+6

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


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

Reorder the terms:
(-6 + 2m) + -1(3m + -4) = -1(-4 + m) + -4m + 6

Remove parenthesis around (-6 + 2m)
-6 + 2m + -1(3m + -4) = -1(-4 + m) + -4m + 6

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

Reorder the terms:
-6 + 4 + 2m + -3m = -1(-4 + m) + -4m + 6

Combine like terms: -6 + 4 = -2
-2 + 2m + -3m = -1(-4 + m) + -4m + 6

Combine like terms: 2m + -3m = -1m
-2 + -1m = -1(-4 + m) + -4m + 6
-2 + -1m = (-4 * -1 + m * -1) + -4m + 6
-2 + -1m = (4 + -1m) + -4m + 6

Reorder the terms:
-2 + -1m = 4 + 6 + -1m + -4m

Combine like terms: 4 + 6 = 10
-2 + -1m = 10 + -1m + -4m

Combine like terms: -1m + -4m = -5m
-2 + -1m = 10 + -5m

Solving
-2 + -1m = 10 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
-2 + -1m + 5m = 10 + -5m + 5m

Combine like terms: -1m + 5m = 4m
-2 + 4m = 10 + -5m + 5m

Combine like terms: -5m + 5m = 0
-2 + 4m = 10 + 0
-2 + 4m = 10

Add '2' to each side of the equation.
-2 + 2 + 4m = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4m = 10 + 2
4m = 10 + 2

Combine like terms: 10 + 2 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3

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