14+4n=6n-7(n-2)

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Solution for 14+4n=6n-7(n-2) equation:


Simplifying
14 + 4n = 6n + -7(n + -2)

Reorder the terms:
14 + 4n = 6n + -7(-2 + n)
14 + 4n = 6n + (-2 * -7 + n * -7)
14 + 4n = 6n + (14 + -7n)

Reorder the terms:
14 + 4n = 14 + 6n + -7n

Combine like terms: 6n + -7n = -1n
14 + 4n = 14 + -1n

Add '-14' to each side of the equation.
14 + -14 + 4n = 14 + -14 + -1n

Combine like terms: 14 + -14 = 0
0 + 4n = 14 + -14 + -1n
4n = 14 + -14 + -1n

Combine like terms: 14 + -14 = 0
4n = 0 + -1n
4n = -1n

Solving
4n = -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.
4n + n = -1n + n

Combine like terms: 4n + n = 5n
5n = -1n + n

Combine like terms: -1n + n = 0
5n = 0

Divide each side by '5'.
n = 0

Simplifying
n = 0

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