Complete the process of solving the equation.

Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
7b+10=13b+4
–
6b+10=4
Add 13b to both sides
Subtract 13b from both sides
Multiply both sides by 13b
Divide both sides by 13b
Apply the distributive property
–
6b=
–
6
Add 10 to both sides
Subtract 10 from both sides
Multiply both sides by 10
Divide both sides by 10
Apply the distributive property
b=
Divide both sides by
–
6

Answer 1

Let's complete the process of solving the equation step by step.

Given equation:

\[ 7b + 10 = 13b + 4 \]

Step 1: Isolate the variable term. To isolate the variable \( b \), we can start by subtracting \( 13b \) from both sides:

\[ 7b + 10 - 13b = 13b + 4 - 13b \]

This simplifies to:

\[ -6b + 10 = 4 \]

Descriptive terms:

• Subtract 13b from both sides

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Step 2: Isolate the constant term. Next, subtract 10 from both sides:

\[ -6b + 10 - 10 = 4 - 10 \]

This simplifies to:

\[ -6b = -6 \]

Descriptive terms:

• Subtract 10 from both sides

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Step 3: Solve for \( b \). Now, divide both sides by -6:

\[ b = \frac{-6}{-6} \]

This simplifies to:

\[ b = 1 \]

Descriptive terms:

• Divide both sides by -6

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Final Answers:

1. Equation for Step 2: \( -6b = -6 \)
2. Final Value for \( b \): \( b = 1 \)

So your completed process is:

1. \( 7b + 10 = 13b + 4 \)
2. Subtract 13b from both sides
3. \( -6b + 10 = 4 \)
4. Subtract 10 from both sides
5. \( -6b = -6 \)
6. Divide both sides by -6
7. \( b = 1 \)