3(2n+5)=6(8n+4)+6

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Solution for 3(2n+5)=6(8n+4)+6 equation:


Simplifying
3(2n + 5) = 6(8n + 4) + 6

Reorder the terms:
3(5 + 2n) = 6(8n + 4) + 6
(5 * 3 + 2n * 3) = 6(8n + 4) + 6
(15 + 6n) = 6(8n + 4) + 6

Reorder the terms:
15 + 6n = 6(4 + 8n) + 6
15 + 6n = (4 * 6 + 8n * 6) + 6
15 + 6n = (24 + 48n) + 6

Reorder the terms:
15 + 6n = 24 + 6 + 48n

Combine like terms: 24 + 6 = 30
15 + 6n = 30 + 48n

Solving
15 + 6n = 30 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
15 + 6n + -48n = 30 + 48n + -48n

Combine like terms: 6n + -48n = -42n
15 + -42n = 30 + 48n + -48n

Combine like terms: 48n + -48n = 0
15 + -42n = 30 + 0
15 + -42n = 30

Add '-15' to each side of the equation.
15 + -15 + -42n = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -42n = 30 + -15
-42n = 30 + -15

Combine like terms: 30 + -15 = 15
-42n = 15

Divide each side by '-42'.
n = -0.3571428571

Simplifying
n = -0.3571428571

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