5(n+6)=2(3n-18)

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Solution for 5(n+6)=2(3n-18) equation:


Simplifying
5(n + 6) = 2(3n + -18)

Reorder the terms:
5(6 + n) = 2(3n + -18)
(6 * 5 + n * 5) = 2(3n + -18)
(30 + 5n) = 2(3n + -18)

Reorder the terms:
30 + 5n = 2(-18 + 3n)
30 + 5n = (-18 * 2 + 3n * 2)
30 + 5n = (-36 + 6n)

Solving
30 + 5n = -36 + 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 = -36 + 6n + -6n

Combine like terms: 5n + -6n = -1n
30 + -1n = -36 + 6n + -6n

Combine like terms: 6n + -6n = 0
30 + -1n = -36 + 0
30 + -1n = -36

Add '-30' to each side of the equation.
30 + -30 + -1n = -36 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = -36 + -30
-1n = -36 + -30

Combine like terms: -36 + -30 = -66
-1n = -66

Divide each side by '-1'.
n = 66

Simplifying
n = 66

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