9(n+4)=5n+8

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


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

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

Reorder the terms:
36 + 9n = 8 + 5n

Solving
36 + 9n = 8 + 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.
36 + 9n + -5n = 8 + 5n + -5n

Combine like terms: 9n + -5n = 4n
36 + 4n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
36 + 4n = 8 + 0
36 + 4n = 8

Add '-36' to each side of the equation.
36 + -36 + 4n = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 4n = 8 + -36
4n = 8 + -36

Combine like terms: 8 + -36 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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