-1.8(z-1)=-0.2(z+15)

Solution for -1.8(z-1)=-0.2(z+15) equation:

Simplifying
-1.8(z + -1) = -0.2(z + 15)

Reorder the terms:
-1.8(-1 + z) = -0.2(z + 15)
(-1 * -1.8 + z * -1.8) = -0.2(z + 15)
(1.8 + -1.8z) = -0.2(z + 15)

Reorder the terms:
1.8 + -1.8z = -0.2(15 + z)
1.8 + -1.8z = (15 * -0.2 + z * -0.2)
1.8 + -1.8z = (-3 + -0.2z)

Solving
1.8 + -1.8z = -3 + -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.
1.8 + -1.8z + 0.2z = -3 + -0.2z + 0.2z

Combine like terms: -1.8z + 0.2z = -1.6z
1.8 + -1.6z = -3 + -0.2z + 0.2z

Combine like terms: -0.2z + 0.2z = 0.0
1.8 + -1.6z = -3 + 0.0
1.8 + -1.6z = -3

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -1.6z = -3 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -1.6z = -3 + -1.8
-1.6z = -3 + -1.8

Combine like terms: -3 + -1.8 = -4.8
-1.6z = -4.8

Divide each side by '-1.6'.
z = 3

Simplifying
z = 3