-5n+22=-7-8(1-4n)

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Solution for -5n+22=-7-8(1-4n) equation: 


Simplifying
-5n + 22 = -7 + -8(1 + -4n)

Reorder the terms:
22 + -5n = -7 + -8(1 + -4n)
22 + -5n = -7 + (1 * -8 + -4n * -8)
22 + -5n = -7 + (-8 + 32n)

Combine like terms: -7 + -8 = -15
22 + -5n = -15 + 32n

Solving
22 + -5n = -15 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
22 + -5n + -32n = -15 + 32n + -32n

Combine like terms: -5n + -32n = -37n
22 + -37n = -15 + 32n + -32n

Combine like terms: 32n + -32n = 0
22 + -37n = -15 + 0
22 + -37n = -15

Add '-22' to each side of the equation.
22 + -22 + -37n = -15 + -22

Combine like terms: 22 + -22 = 0
0 + -37n = -15 + -22
-37n = -15 + -22

Combine like terms: -15 + -22 = -37
-37n = -37

Divide each side by '-37'.
n = 1

Simplifying
n = 1

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