8(2-n)-1=n+3(-5-1)+7n

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Solution for 8(2-n)-1=n+3(-5-1)+7n equation: 


Simplifying
8(2 + -1n) + -1 = n + 3(-5 + -1) + 7n
(2 * 8 + -1n * 8) + -1 = n + 3(-5 + -1) + 7n
(16 + -8n) + -1 = n + 3(-5 + -1) + 7n

Reorder the terms:
16 + -1 + -8n = n + 3(-5 + -1) + 7n

Combine like terms: 16 + -1 = 15
15 + -8n = n + 3(-5 + -1) + 7n

Combine like terms: -5 + -1 = -6
15 + -8n = n + 3(-6) + 7n

Multiply 3 * -6
15 + -8n = n + -18 + 7n

Reorder the terms:
15 + -8n = -18 + n + 7n

Combine like terms: n + 7n = 8n
15 + -8n = -18 + 8n

Solving
15 + -8n = -18 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
15 + -8n + -8n = -18 + 8n + -8n

Combine like terms: -8n + -8n = -16n
15 + -16n = -18 + 8n + -8n

Combine like terms: 8n + -8n = 0
15 + -16n = -18 + 0
15 + -16n = -18

Add '-15' to each side of the equation.
15 + -15 + -16n = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -16n = -18 + -15
-16n = -18 + -15

Combine like terms: -18 + -15 = -33
-16n = -33

Divide each side by '-16'.
n = 2.0625

Simplifying
n = 2.0625

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