Question

Solve the following expression:
3r - 2(r + 11) + 61 = 27

The value of r is

• A. 8
• B. -12
• C. 15
• D. -22

Answer 1

The correct option is B -12

Given: 3r - 2(r + 11) + 61 = 27

Solving the bracket first using distributive property, we have,
3r - 2r - 22 + 61 = 27

Now, grouping the like terms together, we have,
(3r - 2r) +(-22 + 61) = 27
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ r + 39 = 27
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ r = 27 - 39
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ r = -12

Hence, the value of r is -12.