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282.36=6.42(40)+1.5(6.42)v
We simplify the equation to the form, which is simple to understand
282.36=6.42(40)+1.5(6.42)v
Reorder the terms in parentheses
282.36=+(+256.8)+1.5*(6.42)*v
Remove unnecessary parentheses
+282.36=+256.8+1.5+*(+6.42+)+*v
Reorder the terms in parentheses
282.36=+256.8+(+9.63)*v
Reorder the terms in parentheses
282.36=+256.8+(+9.63v)
Remove unnecessary parentheses
+282.36=+256.8+9.63v
We move all terms containing v to the left and all other terms to the right.
-9.63v=+256.8-282.36
We simplify left and right side of the equation.
-9.63v=-25.56
We divide both sides of the equation by -09.63 to get v.
v=2.6542056074766
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