.3(3z+6)+8.2=.5(3z-4)

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Solution for .3(3z+6)+8.2=.5(3z-4) equation:


.3(3z+6)+8.2=.5(3z-4)

We simplify the equation to the form, which is simple to understand
.3(3z+6)+8.2=.5(3z-4)

Reorder the terms in parentheses
+( + 0.9z+1.8)+8.2=.5*(3z-4)

Remove unnecessary parentheses
+ 0.9z+1.8+8.2=+.5+*(+3z-4+)

Reorder the terms in parentheses
+ 0.9z+1.8+8.2=+(+1.5z-2)

Remove unnecessary parentheses
+ 0.9z+1.8+8.2=+1.5z-2

We move all terms containing z to the left and all other terms to the right.
+ 0.9z-1.5z=-2-1.8-8.2

We simplify left and right side of the equation.
-0.6z=-12

We divide both sides of the equation by -0.6 to get z.
z=20

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