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

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


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

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

Combine like terms: 18n + 6n = 24n
30 + 24n = -6n

Solving
30 + 24n = -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 + 24n + 6n = -6n + 6n

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

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

Add '-30' to each side of the equation.
30 + -30 + 30n = 0 + -30

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

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

Divide each side by '30'.
n = -1

Simplifying
n = -1

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