5(n+3)=4(n-1)

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Solution for 5(n+3)=4(n-1) equation:


Simplifying
5(n + 3) = 4(n + -1)

Reorder the terms:
5(3 + n) = 4(n + -1)
(3 * 5 + n * 5) = 4(n + -1)
(15 + 5n) = 4(n + -1)

Reorder the terms:
15 + 5n = 4(-1 + n)
15 + 5n = (-1 * 4 + n * 4)
15 + 5n = (-4 + 4n)

Solving
15 + 5n = -4 + 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 = -4 + 4n + -4n

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

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

Add '-15' to each side of the equation.
15 + -15 + 1n = -4 + -15

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

Combine like terms: -4 + -15 = -19
1n = -19

Divide each side by '1'.
n = -19

Simplifying
n = -19

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