9(2n-1)=(5n+4)+5

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


Simplifying
9(2n + -1) = (5n + 4) + 5

Reorder the terms:
9(-1 + 2n) = (5n + 4) + 5
(-1 * 9 + 2n * 9) = (5n + 4) + 5
(-9 + 18n) = (5n + 4) + 5

Reorder the terms:
-9 + 18n = (4 + 5n) + 5

Remove parenthesis around (4 + 5n)
-9 + 18n = 4 + 5n + 5

Reorder the terms:
-9 + 18n = 4 + 5 + 5n

Combine like terms: 4 + 5 = 9
-9 + 18n = 9 + 5n

Solving
-9 + 18n = 9 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-9 + 18n + -5n = 9 + 5n + -5n

Combine like terms: 18n + -5n = 13n
-9 + 13n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
-9 + 13n = 9 + 0
-9 + 13n = 9

Add '9' to each side of the equation.
-9 + 9 + 13n = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 13n = 9 + 9
13n = 9 + 9

Combine like terms: 9 + 9 = 18
13n = 18

Divide each side by '13'.
n = 1.384615385

Simplifying
n = 1.384615385

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