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

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


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

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

Reorder the terms:
18 + -3n = 5(3 + 2n)
18 + -3n = (3 * 5 + 2n * 5)
18 + -3n = (15 + 10n)

Solving
18 + -3n = 15 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
18 + -3n + -10n = 15 + 10n + -10n

Combine like terms: -3n + -10n = -13n
18 + -13n = 15 + 10n + -10n

Combine like terms: 10n + -10n = 0
18 + -13n = 15 + 0
18 + -13n = 15

Add '-18' to each side of the equation.
18 + -18 + -13n = 15 + -18

Combine like terms: 18 + -18 = 0
0 + -13n = 15 + -18
-13n = 15 + -18

Combine like terms: 15 + -18 = -3
-13n = -3

Divide each side by '-13'.
n = 0.2307692308

Simplifying
n = 0.2307692308

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