3(5n-4)=8n+2

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Solution for 3(5n-4)=8n+2 equation:


Simplifying
3(5n + -4) = 8n + 2

Reorder the terms:
3(-4 + 5n) = 8n + 2
(-4 * 3 + 5n * 3) = 8n + 2
(-12 + 15n) = 8n + 2

Reorder the terms:
-12 + 15n = 2 + 8n

Solving
-12 + 15n = 2 + 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.
-12 + 15n + -8n = 2 + 8n + -8n

Combine like terms: 15n + -8n = 7n
-12 + 7n = 2 + 8n + -8n

Combine like terms: 8n + -8n = 0
-12 + 7n = 2 + 0
-12 + 7n = 2

Add '12' to each side of the equation.
-12 + 12 + 7n = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7n = 2 + 12
7n = 2 + 12

Combine like terms: 2 + 12 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2

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