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

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


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

Reorder the terms:
9(4 + 2n) = 8(5n + 9) + 2
(4 * 9 + 2n * 9) = 8(5n + 9) + 2
(36 + 18n) = 8(5n + 9) + 2

Reorder the terms:
36 + 18n = 8(9 + 5n) + 2
36 + 18n = (9 * 8 + 5n * 8) + 2
36 + 18n = (72 + 40n) + 2

Reorder the terms:
36 + 18n = 72 + 2 + 40n

Combine like terms: 72 + 2 = 74
36 + 18n = 74 + 40n

Solving
36 + 18n = 74 + 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.
36 + 18n + -40n = 74 + 40n + -40n

Combine like terms: 18n + -40n = -22n
36 + -22n = 74 + 40n + -40n

Combine like terms: 40n + -40n = 0
36 + -22n = 74 + 0
36 + -22n = 74

Add '-36' to each side of the equation.
36 + -36 + -22n = 74 + -36

Combine like terms: 36 + -36 = 0
0 + -22n = 74 + -36
-22n = 74 + -36

Combine like terms: 74 + -36 = 38
-22n = 38

Divide each side by '-22'.
n = -1.727272727

Simplifying
n = -1.727272727

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