8(3n+3)=(9n+5)+2

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Solution for 8(3n+3)=(9n+5)+2 equation:


Simplifying
8(3n + 3) = (9n + 5) + 2

Reorder the terms:
8(3 + 3n) = (9n + 5) + 2
(3 * 8 + 3n * 8) = (9n + 5) + 2
(24 + 24n) = (9n + 5) + 2

Reorder the terms:
24 + 24n = (5 + 9n) + 2

Remove parenthesis around (5 + 9n)
24 + 24n = 5 + 9n + 2

Reorder the terms:
24 + 24n = 5 + 2 + 9n

Combine like terms: 5 + 2 = 7
24 + 24n = 7 + 9n

Solving
24 + 24n = 7 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
24 + 24n + -9n = 7 + 9n + -9n

Combine like terms: 24n + -9n = 15n
24 + 15n = 7 + 9n + -9n

Combine like terms: 9n + -9n = 0
24 + 15n = 7 + 0
24 + 15n = 7

Add '-24' to each side of the equation.
24 + -24 + 15n = 7 + -24

Combine like terms: 24 + -24 = 0
0 + 15n = 7 + -24
15n = 7 + -24

Combine like terms: 7 + -24 = -17
15n = -17

Divide each side by '15'.
n = -1.133333333

Simplifying
n = -1.133333333

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