-5(n-2)=-(1+4n)+8

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Solution for -5(n-2)=-(1+4n)+8 equation: 


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

Reorder the terms:
-5(-2 + n) = -1(1 + 4n) + 8
(-2 * -5 + n * -5) = -1(1 + 4n) + 8
(10 + -5n) = -1(1 + 4n) + 8
10 + -5n = (1 * -1 + 4n * -1) + 8
10 + -5n = (-1 + -4n) + 8

Reorder the terms:
10 + -5n = -1 + 8 + -4n

Combine like terms: -1 + 8 = 7
10 + -5n = 7 + -4n

Solving
10 + -5n = 7 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
10 + -5n + 4n = 7 + -4n + 4n

Combine like terms: -5n + 4n = -1n
10 + -1n = 7 + -4n + 4n

Combine like terms: -4n + 4n = 0
10 + -1n = 7 + 0
10 + -1n = 7

Add '-10' to each side of the equation.
10 + -10 + -1n = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 7 + -10
-1n = 7 + -10

Combine like terms: 7 + -10 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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