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1/5 (z+1)+1/4 (z+3)=2
We simplify the equation to the form, which is simple to understand
1/5(z+1)+1/4(z+3)=2
Reorder the terms in parentheses
+( + 0.2z + 0.2) + 0.25*(z+3)=2
Remove unnecessary parentheses
+ 0.2z + 0.2 + 0.25+*(+z+3+)=+2
Reorder the terms in parentheses
+ 0.2z + 0.2+( + 0.25z + 0.75)=2
Remove unnecessary parentheses
+ 0.2z + 0.2 + 0.25z + 0.75=+2
We move all terms containing z to the left and all other terms to the right.
+ 0.2z + 0.25z=+2-0.2-0.75
We simplify left and right side of the equation.
+ 0.45z=+1.05
We divide both sides of the equation by 0.45 to get z.
z=2.3333333333333
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