5(3n+2)=8(9n+4)+1

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Solution for 5(3n+2)=8(9n+4)+1 equation: 


Simplifying
5(3n + 2) = 8(9n + 4) + 1

Reorder the terms:
5(2 + 3n) = 8(9n + 4) + 1
(2 * 5 + 3n * 5) = 8(9n + 4) + 1
(10 + 15n) = 8(9n + 4) + 1

Reorder the terms:
10 + 15n = 8(4 + 9n) + 1
10 + 15n = (4 * 8 + 9n * 8) + 1
10 + 15n = (32 + 72n) + 1

Reorder the terms:
10 + 15n = 32 + 1 + 72n

Combine like terms: 32 + 1 = 33
10 + 15n = 33 + 72n

Solving
10 + 15n = 33 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
10 + 15n + -72n = 33 + 72n + -72n

Combine like terms: 15n + -72n = -57n
10 + -57n = 33 + 72n + -72n

Combine like terms: 72n + -72n = 0
10 + -57n = 33 + 0
10 + -57n = 33

Add '-10' to each side of the equation.
10 + -10 + -57n = 33 + -10

Combine like terms: 10 + -10 = 0
0 + -57n = 33 + -10
-57n = 33 + -10

Combine like terms: 33 + -10 = 23
-57n = 23

Divide each side by '-57'.
n = -0.4035087719

Simplifying
n = -0.4035087719

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