69=2(-n+4)+3(-8n+3)

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Solution for 69=2(-n+4)+3(-8n+3) equation: 


Simplifying
69 = 2(-1n + 4) + 3(-8n + 3)

Reorder the terms:
69 = 2(4 + -1n) + 3(-8n + 3)
69 = (4 * 2 + -1n * 2) + 3(-8n + 3)
69 = (8 + -2n) + 3(-8n + 3)

Reorder the terms:
69 = 8 + -2n + 3(3 + -8n)
69 = 8 + -2n + (3 * 3 + -8n * 3)
69 = 8 + -2n + (9 + -24n)

Reorder the terms:
69 = 8 + 9 + -2n + -24n

Combine like terms: 8 + 9 = 17
69 = 17 + -2n + -24n

Combine like terms: -2n + -24n = -26n
69 = 17 + -26n

Solving
69 = 17 + -26n

Solving for variable 'n'.

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

Add '26n' to each side of the equation.
69 + 26n = 17 + -26n + 26n

Combine like terms: -26n + 26n = 0
69 + 26n = 17 + 0
69 + 26n = 17

Add '-69' to each side of the equation.
69 + -69 + 26n = 17 + -69

Combine like terms: 69 + -69 = 0
0 + 26n = 17 + -69
26n = 17 + -69

Combine like terms: 17 + -69 = -52
26n = -52

Divide each side by '26'.
n = -2

Simplifying
n = -2

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