9*n+68=7*n-2*(n-2)

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Solution for 9*n+68=7*n-2*(n-2) equation:


Simplifying
9n + 68 = 7n + -2(n + -2)

Reorder the terms:
68 + 9n = 7n + -2(n + -2)

Reorder the terms:
68 + 9n = 7n + -2(-2 + n)
68 + 9n = 7n + (-2 * -2 + n * -2)
68 + 9n = 7n + (4 + -2n)

Reorder the terms:
68 + 9n = 4 + 7n + -2n

Combine like terms: 7n + -2n = 5n
68 + 9n = 4 + 5n

Solving
68 + 9n = 4 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
68 + 9n + -5n = 4 + 5n + -5n

Combine like terms: 9n + -5n = 4n
68 + 4n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
68 + 4n = 4 + 0
68 + 4n = 4

Add '-68' to each side of the equation.
68 + -68 + 4n = 4 + -68

Combine like terms: 68 + -68 = 0
0 + 4n = 4 + -68
4n = 4 + -68

Combine like terms: 4 + -68 = -64
4n = -64

Divide each side by '4'.
n = -16

Simplifying
n = -16

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