5(9n+33)+8(n+1)=

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Solution for 5(9n+33)+8(n+1)= equation:


Simplifying
5(9n + 33) + 8(n + 1) = 0

Reorder the terms:
5(33 + 9n) + 8(n + 1) = 0
(33 * 5 + 9n * 5) + 8(n + 1) = 0
(165 + 45n) + 8(n + 1) = 0

Reorder the terms:
165 + 45n + 8(1 + n) = 0
165 + 45n + (1 * 8 + n * 8) = 0
165 + 45n + (8 + 8n) = 0

Reorder the terms:
165 + 8 + 45n + 8n = 0

Combine like terms: 165 + 8 = 173
173 + 45n + 8n = 0

Combine like terms: 45n + 8n = 53n
173 + 53n = 0

Solving
173 + 53n = 0

Solving for variable 'n'.

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

Add '-173' to each side of the equation.
173 + -173 + 53n = 0 + -173

Combine like terms: 173 + -173 = 0
0 + 53n = 0 + -173
53n = 0 + -173

Combine like terms: 0 + -173 = -173
53n = -173

Divide each side by '53'.
n = -3.264150943

Simplifying
n = -3.264150943

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