4(n+8)-13=(-1)(4n+5)

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Solution for 4(n+8)-13=(-1)(4n+5) equation:


Simplifying
4(n + 8) + -13 = (-1)(4n + 5)

Reorder the terms:
4(8 + n) + -13 = (-1)(4n + 5)
(8 * 4 + n * 4) + -13 = (-1)(4n + 5)
(32 + 4n) + -13 = (-1)(4n + 5)

Reorder the terms:
32 + -13 + 4n = (-1)(4n + 5)

Combine like terms: 32 + -13 = 19
19 + 4n = (-1)(4n + 5)

Reorder the terms:
19 + 4n = -1(5 + 4n)
19 + 4n = (5 * -1 + 4n * -1)
19 + 4n = (-5 + -4n)

Solving
19 + 4n = -5 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
19 + 4n + 4n = -5 + -4n + 4n

Combine like terms: 4n + 4n = 8n
19 + 8n = -5 + -4n + 4n

Combine like terms: -4n + 4n = 0
19 + 8n = -5 + 0
19 + 8n = -5

Add '-19' to each side of the equation.
19 + -19 + 8n = -5 + -19

Combine like terms: 19 + -19 = 0
0 + 8n = -5 + -19
8n = -5 + -19

Combine like terms: -5 + -19 = -24
8n = -24

Divide each side by '8'.
n = -3

Simplifying
n = -3

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