3(m-2)-5=8+4(m-4)

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Solution for 3(m-2)-5=8+4(m-4) equation:


Simplifying
3(m + -2) + -5 = 8 + 4(m + -4)

Reorder the terms:
3(-2 + m) + -5 = 8 + 4(m + -4)
(-2 * 3 + m * 3) + -5 = 8 + 4(m + -4)
(-6 + 3m) + -5 = 8 + 4(m + -4)

Reorder the terms:
-6 + -5 + 3m = 8 + 4(m + -4)

Combine like terms: -6 + -5 = -11
-11 + 3m = 8 + 4(m + -4)

Reorder the terms:
-11 + 3m = 8 + 4(-4 + m)
-11 + 3m = 8 + (-4 * 4 + m * 4)
-11 + 3m = 8 + (-16 + 4m)

Combine like terms: 8 + -16 = -8
-11 + 3m = -8 + 4m

Solving
-11 + 3m = -8 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-11 + 3m + -4m = -8 + 4m + -4m

Combine like terms: 3m + -4m = -1m
-11 + -1m = -8 + 4m + -4m

Combine like terms: 4m + -4m = 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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