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

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


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

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

Reorder the terms:
9 + 9n = 8 + 5n

Solving
9 + 9n = 8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
9 + 9n + -5n = 8 + 5n + -5n

Combine like terms: 9n + -5n = 4n
9 + 4n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
9 + 4n = 8 + 0
9 + 4n = 8

Add '-9' to each side of the equation.
9 + -9 + 4n = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 4n = 8 + -9
4n = 8 + -9

Combine like terms: 8 + -9 = -1
4n = -1

Divide each side by '4'.
n = -0.25

Simplifying
n = -0.25

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