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

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


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

Reorder the terms:
4(5 + n) = 3(n + -1)
(5 * 4 + n * 4) = 3(n + -1)
(20 + 4n) = 3(n + -1)

Reorder the terms:
20 + 4n = 3(-1 + n)
20 + 4n = (-1 * 3 + n * 3)
20 + 4n = (-3 + 3n)

Solving
20 + 4n = -3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
20 + 4n + -3n = -3 + 3n + -3n

Combine like terms: 4n + -3n = 1n
20 + 1n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
20 + 1n = -3 + 0
20 + 1n = -3

Add '-20' to each side of the equation.
20 + -20 + 1n = -3 + -20

Combine like terms: 20 + -20 = 0
0 + 1n = -3 + -20
1n = -3 + -20

Combine like terms: -3 + -20 = -23
1n = -23

Divide each side by '1'.
n = -23

Simplifying
n = -23

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