2(6n+6)=1(18n-30)

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Solution for 2(6n+6)=1(18n-30) equation:


Simplifying
2(6n + 6) = 1(18n + -30)

Reorder the terms:
2(6 + 6n) = 1(18n + -30)
(6 * 2 + 6n * 2) = 1(18n + -30)
(12 + 12n) = 1(18n + -30)

Reorder the terms:
12 + 12n = 1(-30 + 18n)
12 + 12n = (-30 * 1 + 18n * 1)
12 + 12n = (-30 + 18n)

Solving
12 + 12n = -30 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
12 + 12n + -18n = -30 + 18n + -18n

Combine like terms: 12n + -18n = -6n
12 + -6n = -30 + 18n + -18n

Combine like terms: 18n + -18n = 0
12 + -6n = -30 + 0
12 + -6n = -30

Add '-12' to each side of the equation.
12 + -12 + -6n = -30 + -12

Combine like terms: 12 + -12 = 0
0 + -6n = -30 + -12
-6n = -30 + -12

Combine like terms: -30 + -12 = -42
-6n = -42

Divide each side by '-6'.
n = 7

Simplifying
n = 7

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