What is the value of r in the equation -3(4r - 8)=-36
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Answer:
r=5
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*(4*r-8)-(-36)=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
4r - 8 = 4 • (r - 2)
Equation at the end of step 2 :
(0 - 12 • (r - 2)) - -36 = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
60 - 12r = -12 • (r - 5)
Equation at the end of step 4 :
-12 • (r - 5) = 0
Step 5 :
Equations which are never true :
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : r-5 = 0
Add 5 to both sides of the equation :
r = 5
One solution was found :
r = 5
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Answer:
r=5
Step-by-step explanation:
-3(4r - 8)=-36
The first step is to distribute the -3
-3*4r -3*-8 = -36
-12r +24 = -36
Subtract 24 from each side.
-12r + 24-24 = -36-24
-12r = -60
Divide each side by -12
-12r/-12 = -60/-12
r=5