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

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


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

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

Combine like terms: -4n + -8n = -12n
8 + -12n = -7n + -22

Reorder the terms:
8 + -12n = -22 + -7n

Solving
8 + -12n = -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.
8 + -12n + 7n = -22 + -7n + 7n

Combine like terms: -12n + 7n = -5n
8 + -5n = -22 + -7n + 7n

Combine like terms: -7n + 7n = 0
8 + -5n = -22 + 0
8 + -5n = -22

Add '-8' to each side of the equation.
8 + -8 + -5n = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = -22 + -8
-5n = -22 + -8

Combine like terms: -22 + -8 = -30
-5n = -30

Divide each side by '-5'.
n = 6

Simplifying
n = 6

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