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

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


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

Reorder the terms:
4(-5 + n) = -4(4 + -2n)
(-5 * 4 + n * 4) = -4(4 + -2n)
(-20 + 4n) = -4(4 + -2n)
-20 + 4n = (4 * -4 + -2n * -4)
-20 + 4n = (-16 + 8n)

Solving
-20 + 4n = -16 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-20 + 4n + -8n = -16 + 8n + -8n

Combine like terms: 4n + -8n = -4n
-20 + -4n = -16 + 8n + -8n

Combine like terms: 8n + -8n = 0
-20 + -4n = -16 + 0
-20 + -4n = -16

Add '20' to each side of the equation.
-20 + 20 + -4n = -16 + 20

Combine like terms: -20 + 20 = 0
0 + -4n = -16 + 20
-4n = -16 + 20

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

Divide each side by '-4'.
n = -1

Simplifying
n = -1

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