-8-5(n-2)=3(8n+3)+9

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Solution for -8-5(n-2)=3(8n+3)+9 equation: 


Simplifying
-8 + -5(n + -2) = 3(8n + 3) + 9

Reorder the terms:
-8 + -5(-2 + n) = 3(8n + 3) + 9
-8 + (-2 * -5 + n * -5) = 3(8n + 3) + 9
-8 + (10 + -5n) = 3(8n + 3) + 9

Combine like terms: -8 + 10 = 2
2 + -5n = 3(8n + 3) + 9

Reorder the terms:
2 + -5n = 3(3 + 8n) + 9
2 + -5n = (3 * 3 + 8n * 3) + 9
2 + -5n = (9 + 24n) + 9

Reorder the terms:
2 + -5n = 9 + 9 + 24n

Combine like terms: 9 + 9 = 18
2 + -5n = 18 + 24n

Solving
2 + -5n = 18 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
2 + -5n + -24n = 18 + 24n + -24n

Combine like terms: -5n + -24n = -29n
2 + -29n = 18 + 24n + -24n

Combine like terms: 24n + -24n = 0
2 + -29n = 18 + 0
2 + -29n = 18

Add '-2' to each side of the equation.
2 + -2 + -29n = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -29n = 18 + -2
-29n = 18 + -2

Combine like terms: 18 + -2 = 16
-29n = 16

Divide each side by '-29'.
n = -0.5517241379

Simplifying
n = -0.5517241379

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