-1.8(z+0.5)=0.2(z-18)

Solution for -1.8(z+0.5)=0.2(z-18) equation:

Simplifying
-1.8(z + 0.5) = 0.2(z + -18)

Reorder the terms:
-1.8(0.5 + z) = 0.2(z + -18)
(0.5 * -1.8 + z * -1.8) = 0.2(z + -18)
(-0.9 + -1.8z) = 0.2(z + -18)

Reorder the terms:
-0.9 + -1.8z = 0.2(-18 + z)
-0.9 + -1.8z = (-18 * 0.2 + z * 0.2)
-0.9 + -1.8z = (-3.6 + 0.2z)

Solving
-0.9 + -1.8z = -3.6 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
-0.9 + -1.8z + -0.2z = -3.6 + 0.2z + -0.2z

Combine like terms: -1.8z + -0.2z = -2z
-0.9 + -2z = -3.6 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
-0.9 + -2z = -3.6 + 0.0
-0.9 + -2z = -3.6

Add '0.9' to each side of the equation.
-0.9 + 0.9 + -2z = -3.6 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + -2z = -3.6 + 0.9
-2z = -3.6 + 0.9

Combine like terms: -3.6 + 0.9 = -2.7
-2z = -2.7

Divide each side by '-2'.
z = 1.35

Simplifying
z = 1.35