5(n+6)=3(4+5n)+8n

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Solution for 5(n+6)=3(4+5n)+8n equation:


Simplifying
5(n + 6) = 3(4 + 5n) + 8n

Reorder the terms:
5(6 + n) = 3(4 + 5n) + 8n
(6 * 5 + n * 5) = 3(4 + 5n) + 8n
(30 + 5n) = 3(4 + 5n) + 8n
30 + 5n = (4 * 3 + 5n * 3) + 8n
30 + 5n = (12 + 15n) + 8n

Combine like terms: 15n + 8n = 23n
30 + 5n = 12 + 23n

Solving
30 + 5n = 12 + 23n

Solving for variable 'n'.

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

Add '-23n' to each side of the equation.
30 + 5n + -23n = 12 + 23n + -23n

Combine like terms: 5n + -23n = -18n
30 + -18n = 12 + 23n + -23n

Combine like terms: 23n + -23n = 0
30 + -18n = 12 + 0
30 + -18n = 12

Add '-30' to each side of the equation.
30 + -30 + -18n = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -18n = 12 + -30
-18n = 12 + -30

Combine like terms: 12 + -30 = -18
-18n = -18

Divide each side by '-18'.
n = 1

Simplifying
n = 1

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