7n+22=-n-2(-2n+1)

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Solution for 7n+22=-n-2(-2n+1) equation: 


Simplifying
7n + 22 = -1n + -2(-2n + 1)

Reorder the terms:
22 + 7n = -1n + -2(-2n + 1)

Reorder the terms:
22 + 7n = -1n + -2(1 + -2n)
22 + 7n = -1n + (1 * -2 + -2n * -2)
22 + 7n = -1n + (-2 + 4n)

Reorder the terms:
22 + 7n = -2 + -1n + 4n

Combine like terms: -1n + 4n = 3n
22 + 7n = -2 + 3n

Solving
22 + 7n = -2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
22 + 7n + -3n = -2 + 3n + -3n

Combine like terms: 7n + -3n = 4n
22 + 4n = -2 + 3n + -3n

Combine like terms: 3n + -3n = 0
22 + 4n = -2 + 0
22 + 4n = -2

Add '-22' to each side of the equation.
22 + -22 + 4n = -2 + -22

Combine like terms: 22 + -22 = 0
0 + 4n = -2 + -22
4n = -2 + -22

Combine like terms: -2 + -22 = -24
4n = -24

Divide each side by '4'.
n = -6

Simplifying
n = -6

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