2(m-4)=4(2m+1)

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Solution for 2(m-4)=4(2m+1) equation:


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

Reorder the terms:
2(-4 + m) = 4(2m + 1)
(-4 * 2 + m * 2) = 4(2m + 1)
(-8 + 2m) = 4(2m + 1)

Reorder the terms:
-8 + 2m = 4(1 + 2m)
-8 + 2m = (1 * 4 + 2m * 4)
-8 + 2m = (4 + 8m)

Solving
-8 + 2m = 4 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-8 + 2m + -8m = 4 + 8m + -8m

Combine like terms: 2m + -8m = -6m
-8 + -6m = 4 + 8m + -8m

Combine like terms: 8m + -8m = 0
-8 + -6m = 4 + 0
-8 + -6m = 4

Add '8' to each side of the equation.
-8 + 8 + -6m = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -6m = 4 + 8
-6m = 4 + 8

Combine like terms: 4 + 8 = 12
-6m = 12

Divide each side by '-6'.
m = -2

Simplifying
m = -2

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