10(n+4)=9(n+5)

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Solution for 10(n+4)=9(n+5) equation: 


Simplifying
10(n + 4) = 9(n + 5)

Reorder the terms:
10(4 + n) = 9(n + 5)
(4 * 10 + n * 10) = 9(n + 5)
(40 + 10n) = 9(n + 5)

Reorder the terms:
40 + 10n = 9(5 + n)
40 + 10n = (5 * 9 + n * 9)
40 + 10n = (45 + 9n)

Solving
40 + 10n = 45 + 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.
40 + 10n + -9n = 45 + 9n + -9n

Combine like terms: 10n + -9n = 1n
40 + 1n = 45 + 9n + -9n

Combine like terms: 9n + -9n = 0
40 + 1n = 45 + 0
40 + 1n = 45

Add '-40' to each side of the equation.
40 + -40 + 1n = 45 + -40

Combine like terms: 40 + -40 = 0
0 + 1n = 45 + -40
1n = 45 + -40

Combine like terms: 45 + -40 = 5
1n = 5

Divide each side by '1'.
n = 5

Simplifying
n = 5

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