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

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


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

Reorder the terms:
8(3 + 3n) = 8(6n + 3) + 2
(3 * 8 + 3n * 8) = 8(6n + 3) + 2
(24 + 24n) = 8(6n + 3) + 2

Reorder the terms:
24 + 24n = 8(3 + 6n) + 2
24 + 24n = (3 * 8 + 6n * 8) + 2
24 + 24n = (24 + 48n) + 2

Reorder the terms:
24 + 24n = 24 + 2 + 48n

Combine like terms: 24 + 2 = 26
24 + 24n = 26 + 48n

Solving
24 + 24n = 26 + 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.
24 + 24n + -48n = 26 + 48n + -48n

Combine like terms: 24n + -48n = -24n
24 + -24n = 26 + 48n + -48n

Combine like terms: 48n + -48n = 0
24 + -24n = 26 + 0
24 + -24n = 26

Add '-24' to each side of the equation.
24 + -24 + -24n = 26 + -24

Combine like terms: 24 + -24 = 0
0 + -24n = 26 + -24
-24n = 26 + -24

Combine like terms: 26 + -24 = 2
-24n = 2

Divide each side by '-24'.
n = -0.08333333333

Simplifying
n = -0.08333333333

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