IF 2B + 4 = 2/3, what is the value of 28 + 7

Let's solve the equation step-by-step:

You are given the equation:
\[
2B + 4 = \frac{2}{3}
\]

### Step 1: Subtract 4 from both sides
\[
2B = \frac{2}{3} - 4
\]
Converting 4 to a fraction with denominator 3:
\[
4 = \frac{12}{3}
\]
Thus:
\[
2B = \frac{2}{3} - \frac{12}{3} = \frac{-10}{3}
\]

### Step 2: Divide both sides by 2 to solve for \(B\)
\[
B = \frac{-10}{3} \div 2 = \frac{-10}{6} = \frac{-5}{3}
\]

Now that we know \(B = \frac{-5}{3}\), substitute this value into the expression \(28 + 7\):

\[
28 + 7 = 28 + 7 = 35
\]

So, the value of \(28 + 7\) is \(35\), and it doesn't depend on \(B\). 

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How would you solve for \(B\) if the equation was \(3B + 5 = 7/4\)?
2. What is the difference between solving for a variable and evaluating an expression?
3. How do you convert a mixed number to an improper fraction?
4. How do you solve for \(B\) when the equation includes decimals?
5. Can you describe how to add fractions with different denominators?

**Tip:** When solving equations with fractions, try to eliminate fractions early by multiplying through by the denominator!

Understand how to solve the linear equation 2B + 4 = 2/3 with fractions and evaluate expressions independently. This solution includes key algebraic concepts, fraction operations, and is suitable for students in Grades 6-8.

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