Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65

Solution:

The given equation is

3q + 5 + 2q - 5 = 65

On rearranging the terms

3q + 2q = 65 + 5 - 5

By further calculation

5q = 65

Dividing both sides by 5

q = 13

Therefore, solving the equation for q we get 13.

Example - Simplify and solve this equation for q: 2q + 4 + 4q - 5 = 45

Solution:

The given equation is

2q + 4 + 4q - 5 = 45

On rearranging the terms

2q + 4q = 45 + 5 - 4

By further calculation

6q = 36

Dividing both sides by 6

q = 6

Therefore, solving the equation for q we get 6.

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Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65

Summary:

Simplifying and solving the equation for q: 3q + 5 + 2q - 5 = 65 we get 13.