2-8(n-8)=8(3n+5)-5

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Solution for 2-8(n-8)=8(3n+5)-5 equation: 


Simplifying
2 + -8(n + -8) = 8(3n + 5) + -5

Reorder the terms:
2 + -8(-8 + n) = 8(3n + 5) + -5
2 + (-8 * -8 + n * -8) = 8(3n + 5) + -5
2 + (64 + -8n) = 8(3n + 5) + -5

Combine like terms: 2 + 64 = 66
66 + -8n = 8(3n + 5) + -5

Reorder the terms:
66 + -8n = 8(5 + 3n) + -5
66 + -8n = (5 * 8 + 3n * 8) + -5
66 + -8n = (40 + 24n) + -5

Reorder the terms:
66 + -8n = 40 + -5 + 24n

Combine like terms: 40 + -5 = 35
66 + -8n = 35 + 24n

Solving
66 + -8n = 35 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
66 + -8n + -24n = 35 + 24n + -24n

Combine like terms: -8n + -24n = -32n
66 + -32n = 35 + 24n + -24n

Combine like terms: 24n + -24n = 0
66 + -32n = 35 + 0
66 + -32n = 35

Add '-66' to each side of the equation.
66 + -66 + -32n = 35 + -66

Combine like terms: 66 + -66 = 0
0 + -32n = 35 + -66
-32n = 35 + -66

Combine like terms: 35 + -66 = -31
-32n = -31

Divide each side by '-32'.
n = 0.96875

Simplifying
n = 0.96875

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