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

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


Simplifying
4n + 4(1 + 7n) = -1(n + -4)
4n + (1 * 4 + 7n * 4) = -1(n + -4)
4n + (4 + 28n) = -1(n + -4)

Reorder the terms:
4 + 4n + 28n = -1(n + -4)

Combine like terms: 4n + 28n = 32n
4 + 32n = -1(n + -4)

Reorder the terms:
4 + 32n = -1(-4 + n)
4 + 32n = (-4 * -1 + n * -1)
4 + 32n = (4 + -1n)

Add '-4' to each side of the equation.
4 + -4 + 32n = 4 + -4 + -1n

Combine like terms: 4 + -4 = 0
0 + 32n = 4 + -4 + -1n
32n = 4 + -4 + -1n

Combine like terms: 4 + -4 = 0
32n = 0 + -1n
32n = -1n

Solving
32n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
32n + n = -1n + n

Combine like terms: 32n + n = 33n
33n = -1n + n

Combine like terms: -1n + n = 0
33n = 0

Divide each side by '33'.
n = 0

Simplifying
n = 0

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