.33(42-18z)=2(8-4z)

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Solution for .33(42-18z)=2(8-4z) equation: 


Simplifying
0.33(42 + -18z) = 2(8 + -4z)
(42 * 0.33 + -18z * 0.33) = 2(8 + -4z)
(13.86 + -5.94z) = 2(8 + -4z)
13.86 + -5.94z = (8 * 2 + -4z * 2)
13.86 + -5.94z = (16 + -8z)

Solving
13.86 + -5.94z = 16 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
13.86 + -5.94z + 8z = 16 + -8z + 8z

Combine like terms: -5.94z + 8z = 2.06z
13.86 + 2.06z = 16 + -8z + 8z

Combine like terms: -8z + 8z = 0
13.86 + 2.06z = 16 + 0
13.86 + 2.06z = 16

Add '-13.86' to each side of the equation.
13.86 + -13.86 + 2.06z = 16 + -13.86

Combine like terms: 13.86 + -13.86 = 0.00
0.00 + 2.06z = 16 + -13.86
2.06z = 16 + -13.86

Combine like terms: 16 + -13.86 = 2.14
2.06z = 2.14

Divide each side by '2.06'.
z = 1.038834951

Simplifying
z = 1.038834951

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