5(3n+3)=8(4n+7)+9

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Solution for 5(3n+3)=8(4n+7)+9 equation: 


Simplifying
5(3n + 3) = 8(4n + 7) + 9

Reorder the terms:
5(3 + 3n) = 8(4n + 7) + 9
(3 * 5 + 3n * 5) = 8(4n + 7) + 9
(15 + 15n) = 8(4n + 7) + 9

Reorder the terms:
15 + 15n = 8(7 + 4n) + 9
15 + 15n = (7 * 8 + 4n * 8) + 9
15 + 15n = (56 + 32n) + 9

Reorder the terms:
15 + 15n = 56 + 9 + 32n

Combine like terms: 56 + 9 = 65
15 + 15n = 65 + 32n

Solving
15 + 15n = 65 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
15 + 15n + -32n = 65 + 32n + -32n

Combine like terms: 15n + -32n = -17n
15 + -17n = 65 + 32n + -32n

Combine like terms: 32n + -32n = 0
15 + -17n = 65 + 0
15 + -17n = 65

Add '-15' to each side of the equation.
15 + -15 + -17n = 65 + -15

Combine like terms: 15 + -15 = 0
0 + -17n = 65 + -15
-17n = 65 + -15

Combine like terms: 65 + -15 = 50
-17n = 50

Divide each side by '-17'.
n = -2.941176471

Simplifying
n = -2.941176471

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