4(5-2n)=1-(n+2)

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Solution for 4(5-2n)=1-(n+2) equation: 


Simplifying
4(5 + -2n) = 1 + -1(n + 2)
(5 * 4 + -2n * 4) = 1 + -1(n + 2)
(20 + -8n) = 1 + -1(n + 2)

Reorder the terms:
20 + -8n = 1 + -1(2 + n)
20 + -8n = 1 + (2 * -1 + n * -1)
20 + -8n = 1 + (-2 + -1n)

Combine like terms: 1 + -2 = -1
20 + -8n = -1 + -1n

Solving
20 + -8n = -1 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
20 + -8n + n = -1 + -1n + n

Combine like terms: -8n + n = -7n
20 + -7n = -1 + -1n + n

Combine like terms: -1n + n = 0
20 + -7n = -1 + 0
20 + -7n = -1

Add '-20' to each side of the equation.
20 + -20 + -7n = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -7n = -1 + -20
-7n = -1 + -20

Combine like terms: -1 + -20 = -21
-7n = -21

Divide each side by '-7'.
n = 3

Simplifying
n = 3

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