4(n+5)=n-19

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Solution for 4(n+5)=n-19 equation: 


Simplifying
4(n + 5) = n + -19

Reorder the terms:
4(5 + n) = n + -19
(5 * 4 + n * 4) = n + -19
(20 + 4n) = n + -19

Reorder the terms:
20 + 4n = -19 + n

Solving
20 + 4n = -19 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
20 + 4n + -1n = -19 + n + -1n

Combine like terms: 4n + -1n = 3n
20 + 3n = -19 + n + -1n

Combine like terms: n + -1n = 0
20 + 3n = -19 + 0
20 + 3n = -19

Add '-20' to each side of the equation.
20 + -20 + 3n = -19 + -20

Combine like terms: 20 + -20 = 0
0 + 3n = -19 + -20
3n = -19 + -20

Combine like terms: -19 + -20 = -39
3n = -39

Divide each side by '3'.
n = -13

Simplifying
n = -13

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