SOLUTION: 1/3(d+9)=-12 and -5/2(w-1)=15

Question 345378: 1/3(d+9)=-12

and

-5/2(w-1)=15
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(1)/(3)*(d+9)=-12
Multiply the rational expressions to get ((d+9))/(3).
(d+9)/(3)=-12
Multiply each term in the equation by 3.
(d+9)/(3)*3=-12*3
Simplify the left-hand side of the equation by canceling the common factors.
d+9=-12*3
Multiply -12 by 3 to get -36.
d+9=-36
Since 9 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 9 from both sides.
d=-9-36
Subtract 36 from -9 to get -45.
d=-45

-(5)/(2)*(w-1)=15
Multiply the rational expressions to get -(5(w-1))/(2).
-(5(w-1))/(2)=15
Multiply each term in the equation by 2.
-(5(w-1))/(2)*2=15*2
Simplify the left-hand side of the equation by canceling the common factors.
-5(w-1)=15*2
Multiply 15 by 2 to get 30.
-5(w-1)=30
Divide each term in the equation by 5.
-(5(w-1))/(5)=(30)/(5)
Simplify the left-hand side of the equation by canceling the common factors.
-(w-1)=(30)/(5)
Simplify the right-hand side of the equation by simplifying each term.
-(w-1)=6
Multiply -1 by each term inside the parentheses.
-w+1=6
Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
-w=-1+6
Add 6 to -1 to get 5.
-w=5
Multiply each term in the equation by -1.
-w*-1=5*-1
Multiply -w by -1 to get w.
w=5*-1
Multiply 5 by -1 to get -5.
w=-5
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