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(-5)/(2)=(3)/(4)z+(1)/(2)
We simplify the equation to the form, which is simple to understand
(-5)/(2)=(3)/(4)z+(1)/(2)
Reorder the terms in parentheses
dividing of parentheses
(-2.5)=(3)/(4)*z+(1)/(2)
Remove unnecessary parentheses
-2.5=(3)/(4)*z+(1)/(2)
Reorder the terms in parentheses
dividing of parentheses
-2.5=( + 0.75)*z+(1)/(2)
Reorder the terms in parentheses
-2.5=( + 0.75z)+(1)/(2)
Remove unnecessary parentheses
-2.5=0.75z+(1)/(2)
Reorder the terms in parentheses
dividing of parentheses
-2.5=0.75z+( + 0.5)
Remove unnecessary parentheses
-2.5=0.75z + 0.5
We move all terms containing z to the left and all other terms to the right.
-0.75z=0.5+2.5
We simplify left and right side of the equation.
-0.75z=+3
We divide both sides of the equation by -00.75 to get z.
z=-4
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