5(2n-1)=9(n+1)-8

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


Simplifying
5(2n + -1) = 9(n + 1) + -8

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

Reorder the terms:
-5 + 10n = 9(1 + n) + -8
-5 + 10n = (1 * 9 + n * 9) + -8
-5 + 10n = (9 + 9n) + -8

Reorder the terms:
-5 + 10n = 9 + -8 + 9n

Combine like terms: 9 + -8 = 1
-5 + 10n = 1 + 9n

Solving
-5 + 10n = 1 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-5 + 10n + -9n = 1 + 9n + -9n

Combine like terms: 10n + -9n = 1n
-5 + 1n = 1 + 9n + -9n

Combine like terms: 9n + -9n = 0
-5 + 1n = 1 + 0
-5 + 1n = 1

Add '5' to each side of the equation.
-5 + 5 + 1n = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 1n = 1 + 5
1n = 1 + 5

Combine like terms: 1 + 5 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6

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