5(3n-1)=(8n+6)+8

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Solution for 5(3n-1)=(8n+6)+8 equation:


Simplifying
5(3n + -1) = (8n + 6) + 8

Reorder the terms:
5(-1 + 3n) = (8n + 6) + 8
(-1 * 5 + 3n * 5) = (8n + 6) + 8
(-5 + 15n) = (8n + 6) + 8

Reorder the terms:
-5 + 15n = (6 + 8n) + 8

Remove parenthesis around (6 + 8n)
-5 + 15n = 6 + 8n + 8

Reorder the terms:
-5 + 15n = 6 + 8 + 8n

Combine like terms: 6 + 8 = 14
-5 + 15n = 14 + 8n

Solving
-5 + 15n = 14 + 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.
-5 + 15n + -8n = 14 + 8n + -8n

Combine like terms: 15n + -8n = 7n
-5 + 7n = 14 + 8n + -8n

Combine like terms: 8n + -8n = 0
-5 + 7n = 14 + 0
-5 + 7n = 14

Add '5' to each side of the equation.
-5 + 5 + 7n = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 7n = 14 + 5
7n = 14 + 5

Combine like terms: 14 + 5 = 19
7n = 19

Divide each side by '7'.
n = 2.714285714

Simplifying
n = 2.714285714

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