-8(n+3)+27=-4n-17

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Solution for -8(n+3)+27=-4n-17 equation:


Simplifying
-8(n + 3) + 27 = -4n + -17

Reorder the terms:
-8(3 + n) + 27 = -4n + -17
(3 * -8 + n * -8) + 27 = -4n + -17
(-24 + -8n) + 27 = -4n + -17

Reorder the terms:
-24 + 27 + -8n = -4n + -17

Combine like terms: -24 + 27 = 3
3 + -8n = -4n + -17

Reorder the terms:
3 + -8n = -17 + -4n

Solving
3 + -8n = -17 + -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.
3 + -8n + 4n = -17 + -4n + 4n

Combine like terms: -8n + 4n = -4n
3 + -4n = -17 + -4n + 4n

Combine like terms: -4n + 4n = 0
3 + -4n = -17 + 0
3 + -4n = -17

Add '-3' to each side of the equation.
3 + -3 + -4n = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = -17 + -3
-4n = -17 + -3

Combine like terms: -17 + -3 = -20
-4n = -20

Divide each side by '-4'.
n = 5

Simplifying
n = 5

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