4(-n+10)=-6(n-8)

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Solution for 4(-n+10)=-6(n-8) equation: 


Simplifying
4(-1n + 10) = -6(n + -8)

Reorder the terms:
4(10 + -1n) = -6(n + -8)
(10 * 4 + -1n * 4) = -6(n + -8)
(40 + -4n) = -6(n + -8)

Reorder the terms:
40 + -4n = -6(-8 + n)
40 + -4n = (-8 * -6 + n * -6)
40 + -4n = (48 + -6n)

Solving
40 + -4n = 48 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
40 + -4n + 6n = 48 + -6n + 6n

Combine like terms: -4n + 6n = 2n
40 + 2n = 48 + -6n + 6n

Combine like terms: -6n + 6n = 0
40 + 2n = 48 + 0
40 + 2n = 48

Add '-40' to each side of the equation.
40 + -40 + 2n = 48 + -40

Combine like terms: 40 + -40 = 0
0 + 2n = 48 + -40
2n = 48 + -40

Combine like terms: 48 + -40 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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