1.66(12z-42)=-.75(4-16z)

Solution for 1.66(12z-42)=-.75(4-16z) equation:

Simplifying
1.66(12z + -42) = -0.75(4 + -16z)

Reorder the terms:
1.66(-42 + 12z) = -0.75(4 + -16z)
(-42 * 1.66 + 12z * 1.66) = -0.75(4 + -16z)
(-69.72 + 19.92z) = -0.75(4 + -16z)
-69.72 + 19.92z = (4 * -0.75 + -16z * -0.75)
-69.72 + 19.92z = (-3 + 12z)

Solving
-69.72 + 19.92z = -3 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
-69.72 + 19.92z + -12z = -3 + 12z + -12z

Combine like terms: 19.92z + -12z = 7.92z
-69.72 + 7.92z = -3 + 12z + -12z

Combine like terms: 12z + -12z = 0
-69.72 + 7.92z = -3 + 0
-69.72 + 7.92z = -3

Add '69.72' to each side of the equation.
-69.72 + 69.72 + 7.92z = -3 + 69.72

Combine like terms: -69.72 + 69.72 = 0.00
0.00 + 7.92z = -3 + 69.72
7.92z = -3 + 69.72

Combine like terms: -3 + 69.72 = 66.72
7.92z = 66.72

Divide each side by '7.92'.
z = 8.424242424

Simplifying
z = 8.424242424