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

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


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

Reorder the terms:
3(5 + 3n) = -3(-5 + 6n)
(5 * 3 + 3n * 3) = -3(-5 + 6n)
(15 + 9n) = -3(-5 + 6n)
15 + 9n = (-5 * -3 + 6n * -3)
15 + 9n = (15 + -18n)

Add '-15' to each side of the equation.
15 + -15 + 9n = 15 + -15 + -18n

Combine like terms: 15 + -15 = 0
0 + 9n = 15 + -15 + -18n
9n = 15 + -15 + -18n

Combine like terms: 15 + -15 = 0
9n = 0 + -18n
9n = -18n

Solving
9n = -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.
9n + 18n = -18n + 18n

Combine like terms: 9n + 18n = 27n
27n = -18n + 18n

Combine like terms: -18n + 18n = 0
27n = 0

Divide each side by '27'.
n = 0

Simplifying
n = 0

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