3(3n+3)=8(5n+2)+1

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Solution for 3(3n+3)=8(5n+2)+1 equation:


Simplifying
3(3n + 3) = 8(5n + 2) + 1

Reorder the terms:
3(3 + 3n) = 8(5n + 2) + 1
(3 * 3 + 3n * 3) = 8(5n + 2) + 1
(9 + 9n) = 8(5n + 2) + 1

Reorder the terms:
9 + 9n = 8(2 + 5n) + 1
9 + 9n = (2 * 8 + 5n * 8) + 1
9 + 9n = (16 + 40n) + 1

Reorder the terms:
9 + 9n = 16 + 1 + 40n

Combine like terms: 16 + 1 = 17
9 + 9n = 17 + 40n

Solving
9 + 9n = 17 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
9 + 9n + -40n = 17 + 40n + -40n

Combine like terms: 9n + -40n = -31n
9 + -31n = 17 + 40n + -40n

Combine like terms: 40n + -40n = 0
9 + -31n = 17 + 0
9 + -31n = 17

Add '-9' to each side of the equation.
9 + -9 + -31n = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -31n = 17 + -9
-31n = 17 + -9

Combine like terms: 17 + -9 = 8
-31n = 8

Divide each side by '-31'.
n = -0.2580645161

Simplifying
n = -0.2580645161

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