3.9(z+5.7)=8.19+7.8z

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Solution for 3.9(z+5.7)=8.19+7.8z equation: 


Simplifying
3.9(z + 5.7) = 8.19 + 7.8z

Reorder the terms:
3.9(5.7 + z) = 8.19 + 7.8z
(5.7 * 3.9 + z * 3.9) = 8.19 + 7.8z
(22.23 + 3.9z) = 8.19 + 7.8z

Solving
22.23 + 3.9z = 8.19 + 7.8z

Solving for variable 'z'.

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

Add '-7.8z' to each side of the equation.
22.23 + 3.9z + -7.8z = 8.19 + 7.8z + -7.8z

Combine like terms: 3.9z + -7.8z = -3.9z
22.23 + -3.9z = 8.19 + 7.8z + -7.8z

Combine like terms: 7.8z + -7.8z = 0.0
22.23 + -3.9z = 8.19 + 0.0
22.23 + -3.9z = 8.19

Add '-22.23' to each side of the equation.
22.23 + -22.23 + -3.9z = 8.19 + -22.23

Combine like terms: 22.23 + -22.23 = 0.00
0.00 + -3.9z = 8.19 + -22.23
-3.9z = 8.19 + -22.23

Combine like terms: 8.19 + -22.23 = -14.04
-3.9z = -14.04

Divide each side by '-3.9'.
z = 3.6

Simplifying
z = 3.6

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