-3(5-15)=15(3n-2)

Solution for -3(5-15)=15(3n-2) equation:

Simplifying
-3(5 + -15) = 15(3n + -2)

Combine like terms: 5 + -15 = -10
-3(-10) = 15(3n + -2)

Multiply -3 * -10
30 = 15(3n + -2)

Reorder the terms:
30 = 15(-2 + 3n)
30 = (-2 * 15 + 3n * 15)
30 = (-30 + 45n)

Solving
30 = -30 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
30 + -45n = -30 + 45n + -45n

Combine like terms: 45n + -45n = 0
30 + -45n = -30 + 0
30 + -45n = -30

Add '-30' to each side of the equation.
30 + -30 + -45n = -30 + -30

Combine like terms: 30 + -30 = 0
0 + -45n = -30 + -30
-45n = -30 + -30

Combine like terms: -30 + -30 = -60
-45n = -60

Divide each side by '-45'.
n = 1.333333333

Simplifying
n = 1.333333333