3n-4=-4(-7n+1)+2n

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Solution for 3n-4=-4(-7n+1)+2n equation:


Simplifying
3n + -4 = -4(-7n + 1) + 2n

Reorder the terms:
-4 + 3n = -4(-7n + 1) + 2n

Reorder the terms:
-4 + 3n = -4(1 + -7n) + 2n
-4 + 3n = (1 * -4 + -7n * -4) + 2n
-4 + 3n = (-4 + 28n) + 2n

Combine like terms: 28n + 2n = 30n
-4 + 3n = -4 + 30n

Add '4' to each side of the equation.
-4 + 4 + 3n = -4 + 4 + 30n

Combine like terms: -4 + 4 = 0
0 + 3n = -4 + 4 + 30n
3n = -4 + 4 + 30n

Combine like terms: -4 + 4 = 0
3n = 0 + 30n
3n = 30n

Solving
3n = 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
3n + -30n = 30n + -30n

Combine like terms: 3n + -30n = -27n
-27n = 30n + -30n

Combine like terms: 30n + -30n = 0
-27n = 0

Divide each side by '-27'.
n = 0

Simplifying
n = 0

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