-2n+22=-7(n-8)

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Solution for -2n+22=-7(n-8) equation: 


Simplifying
-2n + 22 = -7(n + -8)

Reorder the terms:
22 + -2n = -7(n + -8)

Reorder the terms:
22 + -2n = -7(-8 + n)
22 + -2n = (-8 * -7 + n * -7)
22 + -2n = (56 + -7n)

Solving
22 + -2n = 56 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
22 + -2n + 7n = 56 + -7n + 7n

Combine like terms: -2n + 7n = 5n
22 + 5n = 56 + -7n + 7n

Combine like terms: -7n + 7n = 0
22 + 5n = 56 + 0
22 + 5n = 56

Add '-22' to each side of the equation.
22 + -22 + 5n = 56 + -22

Combine like terms: 22 + -22 = 0
0 + 5n = 56 + -22
5n = 56 + -22

Combine like terms: 56 + -22 = 34
5n = 34

Divide each side by '5'.
n = 6.8

Simplifying
n = 6.8

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