9n-15=3(2n-15)

Solution for 9n-15=3(2n-15) equation:

Simplifying
9n + -15 = 3(2n + -15)

Reorder the terms:
-15 + 9n = 3(2n + -15)

Reorder the terms:
-15 + 9n = 3(-15 + 2n)
-15 + 9n = (-15 * 3 + 2n * 3)
-15 + 9n = (-45 + 6n)

Solving
-15 + 9n = -45 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-15 + 9n + -6n = -45 + 6n + -6n

Combine like terms: 9n + -6n = 3n
-15 + 3n = -45 + 6n + -6n

Combine like terms: 6n + -6n = 0
-15 + 3n = -45 + 0
-15 + 3n = -45

Add '15' to each side of the equation.
-15 + 15 + 3n = -45 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = -45 + 15
3n = -45 + 15

Combine like terms: -45 + 15 = -30
3n = -30

Divide each side by '3'.
n = -10

Simplifying
n = -10