-0.75(z+0.17)=0.2(z-0.375)

Solution for -0.75(z+0.17)=0.2(z-0.375) equation:

Simplifying
-0.75(z + 0.17) = 0.2(z + -0.375)

Reorder the terms:
-0.75(0.17 + z) = 0.2(z + -0.375)
(0.17 * -0.75 + z * -0.75) = 0.2(z + -0.375)
(-0.1275 + -0.75z) = 0.2(z + -0.375)

Reorder the terms:
-0.1275 + -0.75z = 0.2(-0.375 + z)
-0.1275 + -0.75z = (-0.375 * 0.2 + z * 0.2)
-0.1275 + -0.75z = (-0.075 + 0.2z)

Solving
-0.1275 + -0.75z = -0.075 + 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.
-0.1275 + -0.75z + -0.2z = -0.075 + 0.2z + -0.2z

Combine like terms: -0.75z + -0.2z = -0.95z
-0.1275 + -0.95z = -0.075 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
-0.1275 + -0.95z = -0.075 + 0.0
-0.1275 + -0.95z = -0.075

Add '0.1275' to each side of the equation.
-0.1275 + 0.1275 + -0.95z = -0.075 + 0.1275

Combine like terms: -0.1275 + 0.1275 = 0.0000
0.0000 + -0.95z = -0.075 + 0.1275
-0.95z = -0.075 + 0.1275

Combine like terms: -0.075 + 0.1275 = 0.0525
-0.95z = 0.0525

Divide each side by '-0.95'.
z = -0.05526315789

Simplifying
z = -0.05526315789