8z+2(3+2z)=3(a-3)

Solution for 8z+2(3+2z)=3(a-3) equation:

Simplifying
8z + 2(3 + 2z) = 3(a + -3)
8z + (3 * 2 + 2z * 2) = 3(a + -3)
8z + (6 + 4z) = 3(a + -3)

Reorder the terms:
6 + 8z + 4z = 3(a + -3)

Combine like terms: 8z + 4z = 12z
6 + 12z = 3(a + -3)

Reorder the terms:
6 + 12z = 3(-3 + a)
6 + 12z = (-3 * 3 + a * 3)
6 + 12z = (-9 + 3a)

Solving
6 + 12z = -9 + 3a

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 12z = -9 + -6 + 3a

Combine like terms: 6 + -6 = 0
0 + 12z = -9 + -6 + 3a
12z = -9 + -6 + 3a

Combine like terms: -9 + -6 = -15
12z = -15 + 3a

Divide each side by '12'.
z = -1.25 + 0.25a

Simplifying
z = -1.25 + 0.25a