5(1-4n)=2n-17

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Solution for 5(1-4n)=2n-17 equation:


Simplifying
5(1 + -4n) = 2n + -17
(1 * 5 + -4n * 5) = 2n + -17
(5 + -20n) = 2n + -17

Reorder the terms:
5 + -20n = -17 + 2n

Solving
5 + -20n = -17 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
5 + -20n + -2n = -17 + 2n + -2n

Combine like terms: -20n + -2n = -22n
5 + -22n = -17 + 2n + -2n

Combine like terms: 2n + -2n = 0
5 + -22n = -17 + 0
5 + -22n = -17

Add '-5' to each side of the equation.
5 + -5 + -22n = -17 + -5

Combine like terms: 5 + -5 = 0
0 + -22n = -17 + -5
-22n = -17 + -5

Combine like terms: -17 + -5 = -22
-22n = -22

Divide each side by '-22'.
n = 1

Simplifying
n = 1

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