5(6n+2)+n=33+8n

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Solution for 5(6n+2)+n=33+8n equation:


Simplifying
5(6n + 2) + n = 33 + 8n

Reorder the terms:
5(2 + 6n) + n = 33 + 8n
(2 * 5 + 6n * 5) + n = 33 + 8n
(10 + 30n) + n = 33 + 8n

Combine like terms: 30n + n = 31n
10 + 31n = 33 + 8n

Solving
10 + 31n = 33 + 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.
10 + 31n + -8n = 33 + 8n + -8n

Combine like terms: 31n + -8n = 23n
10 + 23n = 33 + 8n + -8n

Combine like terms: 8n + -8n = 0
10 + 23n = 33 + 0
10 + 23n = 33

Add '-10' to each side of the equation.
10 + -10 + 23n = 33 + -10

Combine like terms: 10 + -10 = 0
0 + 23n = 33 + -10
23n = 33 + -10

Combine like terms: 33 + -10 = 23
23n = 23

Divide each side by '23'.
n = 1

Simplifying
n = 1

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