Let's solve the equation shown in the image step by step:

Original equation:

$13c + 10 = 6c + 17$

Step 1: Isolate terms with $c$

First, subtract $6c$ from both sides to get the terms involving $c$ on one side: $13c - 6c + 10 = 17$ This simplifies to: $7c + 10 = 17$

Step 2: Isolate $7c$

Next, subtract 10 from both sides: $7c = 17 - 10$ $7c = 7$

Step 3: Solve for $c$

Now, divide both sides by 7: $c = \frac{7}{7} = 1$

Answer:

The solution to the equation is $c = 1$.

The missing parts of the equation in the image would be filled in as follows:

• $\text{First box: } 6c$
• $\text{Second box: } 7c = 7$
• $\text{Third box: } c = 1$

Do you want more details on any step, or do you have any questions?

Here are some related questions for further practice:

1. Solve $5x + 3 = 2x + 15$.
2. Solve $10y - 8 = 4y + 12$.
3. Solve $4a + 7 = 3a + 20$.
4. Solve $9b + 2 = 4b + 17$.
5. Solve $2z + 5 = z + 12$.

Tip: When solving linear equations, always aim to isolate the variable by performing inverse operations step by step on both sides of the equation.