36=-4(n-8)-5(n+1)

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Solution for 36=-4(n-8)-5(n+1) equation:


Simplifying
36 = -4(n + -8) + -5(n + 1)

Reorder the terms:
36 = -4(-8 + n) + -5(n + 1)
36 = (-8 * -4 + n * -4) + -5(n + 1)
36 = (32 + -4n) + -5(n + 1)

Reorder the terms:
36 = 32 + -4n + -5(1 + n)
36 = 32 + -4n + (1 * -5 + n * -5)
36 = 32 + -4n + (-5 + -5n)

Reorder the terms:
36 = 32 + -5 + -4n + -5n

Combine like terms: 32 + -5 = 27
36 = 27 + -4n + -5n

Combine like terms: -4n + -5n = -9n
36 = 27 + -9n

Solving
36 = 27 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
36 + 9n = 27 + -9n + 9n

Combine like terms: -9n + 9n = 0
36 + 9n = 27 + 0
36 + 9n = 27

Add '-36' to each side of the equation.
36 + -36 + 9n = 27 + -36

Combine like terms: 36 + -36 = 0
0 + 9n = 27 + -36
9n = 27 + -36

Combine like terms: 27 + -36 = -9
9n = -9

Divide each side by '9'.
n = -1

Simplifying
n = -1

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