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

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


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

Reorder the terms:
4(-5 + n) = -1(4 + -2n)
(-5 * 4 + n * 4) = -1(4 + -2n)
(-20 + 4n) = -1(4 + -2n)
-20 + 4n = (4 * -1 + -2n * -1)
-20 + 4n = (-4 + 2n)

Solving
-20 + 4n = -4 + 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.
-20 + 4n + -2n = -4 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-20 + 2n = -4 + 2n + -2n

Combine like terms: 2n + -2n = 0
-20 + 2n = -4 + 0
-20 + 2n = -4

Add '20' to each side of the equation.
-20 + 20 + 2n = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 2n = -4 + 20
2n = -4 + 20

Combine like terms: -4 + 20 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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