Question

0.4(2 - g) 0.2(q + 7) A) -3 B) -1 C) 3 D) all real numbers

Answer 1

B. -1

Step-by-step explanation:

The initial expression is:

0.4(2 - q) = 0.2(q + 7)

To solve for q, we need to apply the distributive property on both sides as:

0.4(2) - 0.4(q) = 0.2(q) + 0.2(7)

0.8 - 0.4q = 0.2q + 1.4

Then, add 0.4q to both sides:

0.8 - 0.4q + 0.4q = 0.2q + 1.4 + 0.4q

0.8 = 0.6q + 1.4

Subtract 1.4 from both sides:

0.8 - 1.4 = 0.6q + 1.4 - 1.4

-0.6 = 0.6q

Finally, divide both sides by 0.6:

-0.6/0.6 = 0.6q/0.6

-1 = q

So, the solution is q = -1 and the answer is B. -1