Question

Simplify the equation: 6(e−1)−3(e−2)=−15
A) e=3
B) e=4
C) e=5
D) e=6

Answer 1

To solve 6(e−1)−3(e−2)=−15, you distribute and combine like terms, resulting in 3e = −15, which simplifies to e = 5, matching option C.

Step-by-step explanation:

To simplify the equation 6(e−1)−3(e−2)=−15, let's distribute the numbers outside the parentheses and then combine like terms:

• 6(e−1) becomes 6e − 6.
• −3(e−2) becomes −3e + 6.
• Combining these we get 6e − 3e − 6 + 6.
• Which simplifies to 3e − 6 + 6.
• Since −6 and +6 cancel each other out, we are left with 3e = −15.
• Divide both sides by 3 to isolate e.
• e = −15 / 3.
• Therefore, e = −5.

So the correct answer is e = 5, which corresponds to option C.