m-3(m-2)+5=4-(m-4)

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


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

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

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

Combine like terms: 6 + 5 = 11
11 + m + -3m = 4 + -1(m + -4)

Combine like terms: m + -3m = -2m
11 + -2m = 4 + -1(m + -4)

Reorder the terms:
11 + -2m = 4 + -1(-4 + m)
11 + -2m = 4 + (-4 * -1 + m * -1)
11 + -2m = 4 + (4 + -1m)

Combine like terms: 4 + 4 = 8
11 + -2m = 8 + -1m

Solving
11 + -2m = 8 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
11 + -2m + m = 8 + -1m + m

Combine like terms: -2m + m = -1m
11 + -1m = 8 + -1m + m

Combine like terms: -1m + m = 0
11 + -1m = 8 + 0
11 + -1m = 8

Add '-11' to each side of the equation.
11 + -11 + -1m = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 8 + -11
-1m = 8 + -11

Combine like terms: 8 + -11 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3

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