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

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


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

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

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

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

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

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

Combine like terms: -1m + -3m = -4m
1 + -4m = 2(1 + -4m)
1 + -4m = (1 * 2 + -4m * 2)
1 + -4m = (2 + -8m)

Solving
1 + -4m = 2 + -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.
1 + -4m + 8m = 2 + -8m + 8m

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

Combine like terms: -8m + 8m = 0
1 + 4m = 2 + 0
1 + 4m = 2

Add '-1' to each side of the equation.
1 + -1 + 4m = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 2 + -1
4m = 2 + -1

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

Divide each side by '4'.
m = 0.25

Simplifying
m = 0.25

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