Question

Which value for d makes the expressions 3d−4 and 12d÷6 equivalent?

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Answer 1

To make the expressions 3d−4 and 12d÷6 equivalent, the value of d is 4.

Step-by-step explanation:

To find the value of d that makes the expressions 3d−4 and 12d÷6 equivalent, we need to set the two expressions equal to each other and solve for d.

3d−4 = 12d÷6

To simplify the equation, we can multiply both sides by 6 to eliminate the fraction:
6(3d−4) = 6(12d÷6)
18d−24 = 12d
Next, we can subtract 12d from both sides:
18d−12d−24 = 12d−12d
6d−24 = 0
Finally, we can add 24 to both sides:
6d−24+24 = 0+24
6d = 24
To isolate d, we divide both sides by 6:
6d÷6 = 24÷6
d = 4

Answer 2

Answer: 4

Step-by-step explanation: We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

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