30=-6+3(z+4)

Solution for 30=-6+3(z+4) equation:

Simplifying
30 = -6 + 3(z + 4)

Reorder the terms:
30 = -6 + 3(4 + z)
30 = -6 + (4 * 3 + z * 3)
30 = -6 + (12 + 3z)

Combine like terms: -6 + 12 = 6
30 = 6 + 3z

Solving
30 = 6 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
30 + -3z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
30 + -3z = 6 + 0
30 + -3z = 6

Add '-30' to each side of the equation.
30 + -30 + -3z = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -3z = 6 + -30
-3z = 6 + -30

Combine like terms: 6 + -30 = -24
-3z = -24

Divide each side by '-3'.
z = 8

Simplifying
z = 8