-3(2n-5)=2(4n+10)

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Solution for -3(2n-5)=2(4n+10) equation:


Simplifying
-3(2n + -5) = 2(4n + 10)

Reorder the terms:
-3(-5 + 2n) = 2(4n + 10)
(-5 * -3 + 2n * -3) = 2(4n + 10)
(15 + -6n) = 2(4n + 10)

Reorder the terms:
15 + -6n = 2(10 + 4n)
15 + -6n = (10 * 2 + 4n * 2)
15 + -6n = (20 + 8n)

Solving
15 + -6n = 20 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
15 + -6n + -8n = 20 + 8n + -8n

Combine like terms: -6n + -8n = -14n
15 + -14n = 20 + 8n + -8n

Combine like terms: 8n + -8n = 0
15 + -14n = 20 + 0
15 + -14n = 20

Add '-15' to each side of the equation.
15 + -15 + -14n = 20 + -15

Combine like terms: 15 + -15 = 0
0 + -14n = 20 + -15
-14n = 20 + -15

Combine like terms: 20 + -15 = 5
-14n = 5

Divide each side by '-14'.
n = -0.3571428571

Simplifying
n = -0.3571428571

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