What is the value of r in the equation 2(2r + 8) = 3r + 16?

Solution:

Given, 2(2r + 8) = 3r + 16

We have to find the value of r.

Now, 4r + 16 = 3r + 16

Grouping of common terms,

4r - 3r = 16 - 16

r = 0

Therefore, the value of r is 0.

Example: What is the value of r in the equation 3(2r - 8) = r + 16?

Solution:

Given, 3(2r - 8) = r + 16

We have to find the value of r.

Now, 6r - 24 = r + 16

Grouping of common terms,

6r - r = 16 + 24

5r = 40

Dividing both sides by 5

r = 40/5

r = 8

Therefore, the value of r is 8.

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What is the value of r in the equation 2(2r + 8) = 3r + 16?

Summary:

The value of r in the equation 2(2r + 8) = 3r + 16 is 0.