3n-20=4(3n+4)

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Solution for 3n-20=4(3n+4) equation:


Simplifying
3n + -20 = 4(3n + 4)

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

Reorder the terms:
-20 + 3n = 4(4 + 3n)
-20 + 3n = (4 * 4 + 3n * 4)
-20 + 3n = (16 + 12n)

Solving
-20 + 3n = 16 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-20 + 3n + -12n = 16 + 12n + -12n

Combine like terms: 3n + -12n = -9n
-20 + -9n = 16 + 12n + -12n

Combine like terms: 12n + -12n = 0
-20 + -9n = 16 + 0
-20 + -9n = 16

Add '20' to each side of the equation.
-20 + 20 + -9n = 16 + 20

Combine like terms: -20 + 20 = 0
0 + -9n = 16 + 20
-9n = 16 + 20

Combine like terms: 16 + 20 = 36
-9n = 36

Divide each side by '-9'.
n = -4

Simplifying
n = -4

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