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

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


Simplifying
3(3n + 3) + -1(8n + -5) = 5

Reorder the terms:
3(3 + 3n) + -1(8n + -5) = 5
(3 * 3 + 3n * 3) + -1(8n + -5) = 5
(9 + 9n) + -1(8n + -5) = 5

Reorder the terms:
9 + 9n + -1(-5 + 8n) = 5
9 + 9n + (-5 * -1 + 8n * -1) = 5
9 + 9n + (5 + -8n) = 5

Reorder the terms:
9 + 5 + 9n + -8n = 5

Combine like terms: 9 + 5 = 14
14 + 9n + -8n = 5

Combine like terms: 9n + -8n = 1n
14 + 1n = 5

Solving
14 + 1n = 5

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 1n = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 1n = 5 + -14
1n = 5 + -14

Combine like terms: 5 + -14 = -9
1n = -9

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

Simplifying
n = -9

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