Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Solve for \( b \):

[tex]\[ 4 - 2(b - 6) = 12 \][/tex]

A. \( b = 2 \)

B. \( b = 12 \)

C. \( b = -2 \)

D. [tex]\( b = -10 \)[/tex]

Sagot :

GinnyAnswer
Sure, let's solve the equation step-by-step. We're given the equation:

[tex]\[ 4 - 2(b - 6) = 12 \][/tex]

First, let's simplify the expression inside the parentheses and distribute the \(-2\):

[tex]\[ 4 - 2(b - 6) = 4 - 2b + 12 \][/tex]

Next, let's combine like terms on the left side:

[tex]\[ 4 + 12 - 2b = 16 - 2b \][/tex]

So, the equation becomes:

[tex]\[ 16 - 2b = 12 \][/tex]

Now, let's isolate the term with the variable by subtracting 16 from both sides:

[tex]\[ 16 - 2b - 16 = 12 - 16 \][/tex]

This simplifies to:

[tex]\[ -2b = -4 \][/tex]

Now, divide both sides by \(-2\) to solve for \(b\):

[tex]\[ b = \frac{-4}{-2} = 2 \][/tex]

So, the correct solution is [tex]\(\boxed{2}\)[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.