Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Select the correct answer.

Which equation is equivalent to the given equation?

[tex]\( 7m + 11 = -4(2m + 3) \)[/tex]

A. [tex]\(-m = 1\)[/tex]

B. [tex]\(15m = -23\)[/tex]

C. [tex]\(-m = -1\)[/tex]

D. [tex]\(-15m = -23\)[/tex]

Sagot :

GinnyAnswer
To determine which equation is equivalent to the given equation:
[tex]\[ 7m + 11 = -4(2m + 3) \][/tex]

we can follow these steps to simplify and solve the equation:

1. Distribute the [tex]\(-4\)[/tex] on the right side of the equation:
[tex]\[ 7m + 11 = -4 \cdot 2m - 4 \cdot 3 \][/tex]
This simplifies to:
[tex]\[ 7m + 11 = -8m - 12 \][/tex]

2. Move all terms involving [tex]\(m\)[/tex] to the left side and constant terms to the right side:
[tex]\[ 7m + 8m = -12 - 11 \][/tex]

3. Combine like terms:
[tex]\[ 15m = -23 \][/tex]

Thus, the simplified equation is:
[tex]\[ 15m = -23 \][/tex]

So the correct answer is:
[tex]\[ \boxed{15m = -23} \][/tex]

This matches option B.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.