0.9(z+0.5)=-1.2(z+18)

Solution for 0.9(z+0.5)=-1.2(z+18) equation:

Simplifying
0.9(z + 0.5) = -1.2(z + 18)

Reorder the terms:
0.9(0.5 + z) = -1.2(z + 18)
(0.5 * 0.9 + z * 0.9) = -1.2(z + 18)
(0.45 + 0.9z) = -1.2(z + 18)

Reorder the terms:
0.45 + 0.9z = -1.2(18 + z)
0.45 + 0.9z = (18 * -1.2 + z * -1.2)
0.45 + 0.9z = (-21.6 + -1.2z)

Solving
0.45 + 0.9z = -21.6 + -1.2z

Solving for variable 'z'.

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

Add '1.2z' to each side of the equation.
0.45 + 0.9z + 1.2z = -21.6 + -1.2z + 1.2z

Combine like terms: 0.9z + 1.2z = 2.1z
0.45 + 2.1z = -21.6 + -1.2z + 1.2z

Combine like terms: -1.2z + 1.2z = 0.0
0.45 + 2.1z = -21.6 + 0.0
0.45 + 2.1z = -21.6

Add '-0.45' to each side of the equation.
0.45 + -0.45 + 2.1z = -21.6 + -0.45

Combine like terms: 0.45 + -0.45 = 0.00
0.00 + 2.1z = -21.6 + -0.45
2.1z = -21.6 + -0.45

Combine like terms: -21.6 + -0.45 = -22.05
2.1z = -22.05

Divide each side by '2.1'.
z = -10.5

Simplifying
z = -10.5