4+7n=5-2(8-2n)

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Solution for 4+7n=5-2(8-2n) equation:


Simplifying
4 + 7n = 5 + -2(8 + -2n)
4 + 7n = 5 + (8 * -2 + -2n * -2)
4 + 7n = 5 + (-16 + 4n)

Combine like terms: 5 + -16 = -11
4 + 7n = -11 + 4n

Solving
4 + 7n = -11 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
4 + 7n + -4n = -11 + 4n + -4n

Combine like terms: 7n + -4n = 3n
4 + 3n = -11 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + 3n = -11 + 0
4 + 3n = -11

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

Combine like terms: 4 + -4 = 0
0 + 3n = -11 + -4
3n = -11 + -4

Combine like terms: -11 + -4 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5

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