8(-2n+6)+7n=-3(n-8)

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Solution for 8(-2n+6)+7n=-3(n-8) equation: 


Simplifying
8(-2n + 6) + 7n = -3(n + -8)

Reorder the terms:
8(6 + -2n) + 7n = -3(n + -8)
(6 * 8 + -2n * 8) + 7n = -3(n + -8)
(48 + -16n) + 7n = -3(n + -8)

Combine like terms: -16n + 7n = -9n
48 + -9n = -3(n + -8)

Reorder the terms:
48 + -9n = -3(-8 + n)
48 + -9n = (-8 * -3 + n * -3)
48 + -9n = (24 + -3n)

Solving
48 + -9n = 24 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
48 + -9n + 3n = 24 + -3n + 3n

Combine like terms: -9n + 3n = -6n
48 + -6n = 24 + -3n + 3n

Combine like terms: -3n + 3n = 0
48 + -6n = 24 + 0
48 + -6n = 24

Add '-48' to each side of the equation.
48 + -48 + -6n = 24 + -48

Combine like terms: 48 + -48 = 0
0 + -6n = 24 + -48
-6n = 24 + -48

Combine like terms: 24 + -48 = -24
-6n = -24

Divide each side by '-6'.
n = 4

Simplifying
n = 4

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