52=3(-n-8)-2(1-8n)

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Solution for 52=3(-n-8)-2(1-8n) equation: 


Simplifying
52 = 3(-1n + -8) + -2(1 + -8n)

Reorder the terms:
52 = 3(-8 + -1n) + -2(1 + -8n)
52 = (-8 * 3 + -1n * 3) + -2(1 + -8n)
52 = (-24 + -3n) + -2(1 + -8n)
52 = -24 + -3n + (1 * -2 + -8n * -2)
52 = -24 + -3n + (-2 + 16n)

Reorder the terms:
52 = -24 + -2 + -3n + 16n

Combine like terms: -24 + -2 = -26
52 = -26 + -3n + 16n

Combine like terms: -3n + 16n = 13n
52 = -26 + 13n

Solving
52 = -26 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
52 + -13n = -26 + 13n + -13n

Combine like terms: 13n + -13n = 0
52 + -13n = -26 + 0
52 + -13n = -26

Add '-52' to each side of the equation.
52 + -52 + -13n = -26 + -52

Combine like terms: 52 + -52 = 0
0 + -13n = -26 + -52
-13n = -26 + -52

Combine like terms: -26 + -52 = -78
-13n = -78

Divide each side by '-13'.
n = 6

Simplifying
n = 6

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