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

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


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

Reorder the terms:
4(5 + 3n) = 9(5n + 9) + 1
(5 * 4 + 3n * 4) = 9(5n + 9) + 1
(20 + 12n) = 9(5n + 9) + 1

Reorder the terms:
20 + 12n = 9(9 + 5n) + 1
20 + 12n = (9 * 9 + 5n * 9) + 1
20 + 12n = (81 + 45n) + 1

Reorder the terms:
20 + 12n = 81 + 1 + 45n

Combine like terms: 81 + 1 = 82
20 + 12n = 82 + 45n

Solving
20 + 12n = 82 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
20 + 12n + -45n = 82 + 45n + -45n

Combine like terms: 12n + -45n = -33n
20 + -33n = 82 + 45n + -45n

Combine like terms: 45n + -45n = 0
20 + -33n = 82 + 0
20 + -33n = 82

Add '-20' to each side of the equation.
20 + -20 + -33n = 82 + -20

Combine like terms: 20 + -20 = 0
0 + -33n = 82 + -20
-33n = 82 + -20

Combine like terms: 82 + -20 = 62
-33n = 62

Divide each side by '-33'.
n = -1.878787879

Simplifying
n = -1.878787879

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