10-(n-1)=-4(8n+5)

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Solution for 10-(n-1)=-4(8n+5) equation: 


Simplifying
10 + -1(n + -1) = -4(8n + 5)

Reorder the terms:
10 + -1(-1 + n) = -4(8n + 5)
10 + (-1 * -1 + n * -1) = -4(8n + 5)
10 + (1 + -1n) = -4(8n + 5)

Combine like terms: 10 + 1 = 11
11 + -1n = -4(8n + 5)

Reorder the terms:
11 + -1n = -4(5 + 8n)
11 + -1n = (5 * -4 + 8n * -4)
11 + -1n = (-20 + -32n)

Solving
11 + -1n = -20 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
11 + -1n + 32n = -20 + -32n + 32n

Combine like terms: -1n + 32n = 31n
11 + 31n = -20 + -32n + 32n

Combine like terms: -32n + 32n = 0
11 + 31n = -20 + 0
11 + 31n = -20

Add '-11' to each side of the equation.
11 + -11 + 31n = -20 + -11

Combine like terms: 11 + -11 = 0
0 + 31n = -20 + -11
31n = -20 + -11

Combine like terms: -20 + -11 = -31
31n = -31

Divide each side by '31'.
n = -1

Simplifying
n = -1

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