1.6z-4=2(z-1)-.04z

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Solution for 1.6z-4=2(z-1)-.04z equation:


Simplifying
1.6z + -4 = 2(z + -1) + -0.04z

Reorder the terms:
-4 + 1.6z = 2(z + -1) + -0.04z

Reorder the terms:
-4 + 1.6z = 2(-1 + z) + -0.04z
-4 + 1.6z = (-1 * 2 + z * 2) + -0.04z
-4 + 1.6z = (-2 + 2z) + -0.04z

Combine like terms: 2z + -0.04z = 1.96z
-4 + 1.6z = -2 + 1.96z

Solving
-4 + 1.6z = -2 + 1.96z

Solving for variable 'z'.

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

Add '-1.96z' to each side of the equation.
-4 + 1.6z + -1.96z = -2 + 1.96z + -1.96z

Combine like terms: 1.6z + -1.96z = -0.36z
-4 + -0.36z = -2 + 1.96z + -1.96z

Combine like terms: 1.96z + -1.96z = 0.00
-4 + -0.36z = -2 + 0.00
-4 + -0.36z = -2

Add '4' to each side of the equation.
-4 + 4 + -0.36z = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -0.36z = -2 + 4
-0.36z = -2 + 4

Combine like terms: -2 + 4 = 2
-0.36z = 2

Divide each side by '-0.36'.
z = -5.555555556

Simplifying
z = -5.555555556

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