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

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


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

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

Combine like terms: 3n + 2n = 5n
15 + 5n = 4(n + -3)

Reorder the terms:
15 + 5n = 4(-3 + n)
15 + 5n = (-3 * 4 + n * 4)
15 + 5n = (-12 + 4n)

Solving
15 + 5n = -12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
15 + 5n + -4n = -12 + 4n + -4n

Combine like terms: 5n + -4n = 1n
15 + 1n = -12 + 4n + -4n

Combine like terms: 4n + -4n = 0
15 + 1n = -12 + 0
15 + 1n = -12

Add '-15' to each side of the equation.
15 + -15 + 1n = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = -12 + -15
1n = -12 + -15

Combine like terms: -12 + -15 = -27
1n = -27

Divide each side by '1'.
n = -27

Simplifying
n = -27

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