Let's solve the equation \( 4 = -\frac{3}{4}(-14) + b \) for \( b \).

### Step 1: Simplify the expression on the right side
First, calculate \(-\frac{3}{4} \times (-14)\):
\[
-\frac{3}{4} \times (-14) = \frac{3}{4} \times 14 = \frac{42}{4} = 10.5
\]

### Step 2: Substitute back into the equation
\[
4 = 10.5 + b
\]

### Step 3: Solve for \( b \)
Subtract 10.5 from both sides:
\[
b = 4 - 10.5
\]
\[
b = -6.5
\]

### Final Answer:
\[
b = -6.5
\]

Would you like a detailed explanation of any step or have any questions?

Here are 5 related questions to explore:
1. How do you solve an equation involving fractions?
2. What is the process for solving equations with variables on both sides?
3. How can you check if your solution for \( b \) is correct?
4. How do you simplify expressions involving multiple negative signs?
5. What are some real-life applications of solving linear equations?

**Tip:** When dealing with fractions, it's often helpful to simplify them step by step to avoid mistakes.

Learn how to solve the linear equation 4 = -(3/4)(-14) + b with a clear, step-by-step solution. This solution explains key algebraic concepts, including simplifying fractions and isolating variables. Ideal for students in Grades 8-10 looking to strengthen their algebra skills.

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