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

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


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

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

Reorder the terms:
6 + 6n = 6(2 + 8n) + 3
6 + 6n = (2 * 6 + 8n * 6) + 3
6 + 6n = (12 + 48n) + 3

Reorder the terms:
6 + 6n = 12 + 3 + 48n

Combine like terms: 12 + 3 = 15
6 + 6n = 15 + 48n

Solving
6 + 6n = 15 + 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.
6 + 6n + -48n = 15 + 48n + -48n

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

Combine like terms: 48n + -48n = 0
6 + -42n = 15 + 0
6 + -42n = 15

Add '-6' to each side of the equation.
6 + -6 + -42n = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -42n = 15 + -6
-42n = 15 + -6

Combine like terms: 15 + -6 = 9
-42n = 9

Divide each side by '-42'.
n = -0.2142857143

Simplifying
n = -0.2142857143

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