5(n+6)=6(n+4)

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Solution for 5(n+6)=6(n+4) equation:


Simplifying
5(n + 6) = 6(n + 4)

Reorder the terms:
5(6 + n) = 6(n + 4)
(6 * 5 + n * 5) = 6(n + 4)
(30 + 5n) = 6(n + 4)

Reorder the terms:
30 + 5n = 6(4 + n)
30 + 5n = (4 * 6 + n * 6)
30 + 5n = (24 + 6n)

Solving
30 + 5n = 24 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
30 + 5n + -6n = 24 + 6n + -6n

Combine like terms: 5n + -6n = -1n
30 + -1n = 24 + 6n + -6n

Combine like terms: 6n + -6n = 0
30 + -1n = 24 + 0
30 + -1n = 24

Add '-30' to each side of the equation.
30 + -30 + -1n = 24 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = 24 + -30
-1n = 24 + -30

Combine like terms: 24 + -30 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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