8n+2(-3n+2)=22-7n

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Solution for 8n+2(-3n+2)=22-7n equation: 


Simplifying
8n + 2(-3n + 2) = 22 + -7n

Reorder the terms:
8n + 2(2 + -3n) = 22 + -7n
8n + (2 * 2 + -3n * 2) = 22 + -7n
8n + (4 + -6n) = 22 + -7n

Reorder the terms:
4 + 8n + -6n = 22 + -7n

Combine like terms: 8n + -6n = 2n
4 + 2n = 22 + -7n

Solving
4 + 2n = 22 + -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.
4 + 2n + 7n = 22 + -7n + 7n

Combine like terms: 2n + 7n = 9n
4 + 9n = 22 + -7n + 7n

Combine like terms: -7n + 7n = 0
4 + 9n = 22 + 0
4 + 9n = 22

Add '-4' to each side of the equation.
4 + -4 + 9n = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 9n = 22 + -4
9n = 22 + -4

Combine like terms: 22 + -4 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2

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