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

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


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

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

Reorder the terms:
15 + 6n = 4(-4 + 3n)
15 + 6n = (-4 * 4 + 3n * 4)
15 + 6n = (-16 + 12n)

Solving
15 + 6n = -16 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
15 + 6n + -12n = -16 + 12n + -12n

Combine like terms: 6n + -12n = -6n
15 + -6n = -16 + 12n + -12n

Combine like terms: 12n + -12n = 0
15 + -6n = -16 + 0
15 + -6n = -16

Add '-15' to each side of the equation.
15 + -15 + -6n = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -6n = -16 + -15
-6n = -16 + -15

Combine like terms: -16 + -15 = -31
-6n = -31

Divide each side by '-6'.
n = 5.166666667

Simplifying
n = 5.166666667

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