14-3n=1-8(4n+2)

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Solution for 14-3n=1-8(4n+2) equation:


Simplifying
14 + -3n = 1 + -8(4n + 2)

Reorder the terms:
14 + -3n = 1 + -8(2 + 4n)
14 + -3n = 1 + (2 * -8 + 4n * -8)
14 + -3n = 1 + (-16 + -32n)

Combine like terms: 1 + -16 = -15
14 + -3n = -15 + -32n

Solving
14 + -3n = -15 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
14 + -3n + 32n = -15 + -32n + 32n

Combine like terms: -3n + 32n = 29n
14 + 29n = -15 + -32n + 32n

Combine like terms: -32n + 32n = 0
14 + 29n = -15 + 0
14 + 29n = -15

Add '-14' to each side of the equation.
14 + -14 + 29n = -15 + -14

Combine like terms: 14 + -14 = 0
0 + 29n = -15 + -14
29n = -15 + -14

Combine like terms: -15 + -14 = -29
29n = -29

Divide each side by '29'.
n = -1

Simplifying
n = -1

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