-3+30=3(5z-2)

Solution for -3+30=3(5z-2) equation:

Simplifying
-3 + 30 = 3(5z + -2)

Combine like terms: -3 + 30 = 27
27 = 3(5z + -2)

Reorder the terms:
27 = 3(-2 + 5z)
27 = (-2 * 3 + 5z * 3)
27 = (-6 + 15z)

Solving
27 = -6 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
27 + -15z = -6 + 15z + -15z

Combine like terms: 15z + -15z = 0
27 + -15z = -6 + 0
27 + -15z = -6

Add '-27' to each side of the equation.
27 + -27 + -15z = -6 + -27

Combine like terms: 27 + -27 = 0
0 + -15z = -6 + -27
-15z = -6 + -27

Combine like terms: -6 + -27 = -33
-15z = -33

Divide each side by '-15'.
z = 2.2

Simplifying
z = 2.2