-5(n-10)-2n=4(5-n)

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Solution for -5(n-10)-2n=4(5-n) equation: 


Simplifying
-5(n + -10) + -2n = 4(5 + -1n)

Reorder the terms:
-5(-10 + n) + -2n = 4(5 + -1n)
(-10 * -5 + n * -5) + -2n = 4(5 + -1n)
(50 + -5n) + -2n = 4(5 + -1n)

Combine like terms: -5n + -2n = -7n
50 + -7n = 4(5 + -1n)
50 + -7n = (5 * 4 + -1n * 4)
50 + -7n = (20 + -4n)

Solving
50 + -7n = 20 + -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.
50 + -7n + 4n = 20 + -4n + 4n

Combine like terms: -7n + 4n = -3n
50 + -3n = 20 + -4n + 4n

Combine like terms: -4n + 4n = 0
50 + -3n = 20 + 0
50 + -3n = 20

Add '-50' to each side of the equation.
50 + -50 + -3n = 20 + -50

Combine like terms: 50 + -50 = 0
0 + -3n = 20 + -50
-3n = 20 + -50

Combine like terms: 20 + -50 = -30
-3n = -30

Divide each side by '-3'.
n = 10

Simplifying
n = 10

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