4(2n+6)=-8n-17

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Solution for 4(2n+6)=-8n-17 equation:


Simplifying
4(2n + 6) = -8n + -17

Reorder the terms:
4(6 + 2n) = -8n + -17
(6 * 4 + 2n * 4) = -8n + -17
(24 + 8n) = -8n + -17

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

Solving
24 + 8n = -17 + -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.
24 + 8n + 8n = -17 + -8n + 8n

Combine like terms: 8n + 8n = 16n
24 + 16n = -17 + -8n + 8n

Combine like terms: -8n + 8n = 0
24 + 16n = -17 + 0
24 + 16n = -17

Add '-24' to each side of the equation.
24 + -24 + 16n = -17 + -24

Combine like terms: 24 + -24 = 0
0 + 16n = -17 + -24
16n = -17 + -24

Combine like terms: -17 + -24 = -41
16n = -41

Divide each side by '16'.
n = -2.5625

Simplifying
n = -2.5625

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