Question

Solve 2(12q−1)=−3(2q−1)−8q+4. Check your solution.

a) q=0.7
b) q=−1.2
c) q=2.5
d) q=−0.9

Answer 1

After expanding and simplifying the equation 2(12q−1)=−3(2q−1)−8q+4, we find that q = 9/38 or approximately 0.2368, which does not match any of the provided answer choices, indicating a potential error in the question or answers.

Step-by-step explanation:

The question asks to solve the equation 2(12q−1)=−3(2q−1)−8q+4. To find the value of q, we need to expand and simplify the equation and then solve for q. Here are the steps:

1. Expand both sides of the equation: 24q - 2 = -6q + 3 - 8q + 4.
2. Simplify the equation: 24q - 2 = -14q + 7.
3. Add 14q to both sides: 38q - 2 = 7.
4. Add 2 to both sides: 38q = 9.
5. Divide both sides by 38: q = 9/38.
6. Simplify the fraction: q = 0.2368 (approximate)

The closest answer choice to 0.2368 is not listed, suggesting a possible mistake in the question or the answer choices. None of the provided options, (a) q=0.7, (b) q=−1.2, (c) q=2.5, or (d) q=−0.9, are correct based on our calculation.