0.2(z+6)=-0.2(z-0.125)

Solution for 0.2(z+6)=-0.2(z-0.125) equation:

Simplifying
0.2(z + 6) = -0.2(z + -0.125)

Reorder the terms:
0.2(6 + z) = -0.2(z + -0.125)
(6 * 0.2 + z * 0.2) = -0.2(z + -0.125)
(1.2 + 0.2z) = -0.2(z + -0.125)

Reorder the terms:
1.2 + 0.2z = -0.2(-0.125 + z)
1.2 + 0.2z = (-0.125 * -0.2 + z * -0.2)
1.2 + 0.2z = (0.025 + -0.2z)

Solving
1.2 + 0.2z = 0.025 + -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.
1.2 + 0.2z + 0.2z = 0.025 + -0.2z + 0.2z

Combine like terms: 0.2z + 0.2z = 0.4z
1.2 + 0.4z = 0.025 + -0.2z + 0.2z

Combine like terms: -0.2z + 0.2z = 0.0
1.2 + 0.4z = 0.025 + 0.0
1.2 + 0.4z = 0.025

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.4z = 0.025 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.4z = 0.025 + -1.2
0.4z = 0.025 + -1.2

Combine like terms: 0.025 + -1.2 = -1.175
0.4z = -1.175

Divide each side by '0.4'.
z = -2.9375

Simplifying
z = -2.9375