-23+4n=4(1+3n)+n

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Solution for -23+4n=4(1+3n)+n equation:


Simplifying
-23 + 4n = 4(1 + 3n) + n
-23 + 4n = (1 * 4 + 3n * 4) + n
-23 + 4n = (4 + 12n) + n

Combine like terms: 12n + n = 13n
-23 + 4n = 4 + 13n

Solving
-23 + 4n = 4 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-23 + 4n + -13n = 4 + 13n + -13n

Combine like terms: 4n + -13n = -9n
-23 + -9n = 4 + 13n + -13n

Combine like terms: 13n + -13n = 0
-23 + -9n = 4 + 0
-23 + -9n = 4

Add '23' to each side of the equation.
-23 + 23 + -9n = 4 + 23

Combine like terms: -23 + 23 = 0
0 + -9n = 4 + 23
-9n = 4 + 23

Combine like terms: 4 + 23 = 27
-9n = 27

Divide each side by '-9'.
n = -3

Simplifying
n = -3

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