4(z+5.7)=8.19+7.8z

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Solution for 4(z+5.7)=8.19+7.8z equation: 


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

Reorder the terms:
4(5.7 + z) = 8.19 + 7.8z
(5.7 * 4 + z * 4) = 8.19 + 7.8z
(22.8 + 4z) = 8.19 + 7.8z

Solving
22.8 + 4z = 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.
22.8 + 4z + -7.8z = 8.19 + 7.8z + -7.8z

Combine like terms: 4z + -7.8z = -3.8z
22.8 + -3.8z = 8.19 + 7.8z + -7.8z

Combine like terms: 7.8z + -7.8z = 0.0
22.8 + -3.8z = 8.19 + 0.0
22.8 + -3.8z = 8.19

Add '-22.8' to each side of the equation.
22.8 + -22.8 + -3.8z = 8.19 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -3.8z = 8.19 + -22.8
-3.8z = 8.19 + -22.8

Combine like terms: 8.19 + -22.8 = -14.61
-3.8z = -14.61

Divide each side by '-3.8'.
z = 3.844736842

Simplifying
z = 3.844736842

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