Complete the process of solving the equation.

Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
2c+16=c+1
–
3c+16=1
Add c to both sides
Subtract c from both sides
Multiply both sides by c
Divide both sides by c
Apply the distributive property
–
3c=
–
15
Add 16 to both sides
Subtract 16 from both sides
Multiply both sides by 16
Divide both sides by 16
Apply the distributive property
c=
Divide both sides by
–
3

Answer 1

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

Starting with the equation: \[ -2c + 16 = c + 1 \]

1. Add \(c\) to both sides (to get all terms involving c on one side): \[ -2c + c + 16 = 1 \] This simplifies to: \[ -1c + 16 = 1 \]

2. Subtract 16 from both sides (to isolate the term with c): \[ -1c + 16 - 16 = 1 - 16 \] This simplifies to: \[ -1c = -15 \]

3. Multiply both sides by -1 (to solve for c): \[ c = 15 \]

So the complete process of solving the equation is as follows:

Start with: \[ -2c + 16 = c + 1 \]

1. Add \(c\) to both sides: \[ -2c + c + 16 = 1 \]

This results in: \[ -1c + 16 = 1 \]

2. Subtract 16 from both sides: \[ -1c = -15 \]

3. Multiply both sides by -1: \[ c = 15 \]

Therefore, the missing terms and descriptions can be filled in as such:

• 3c = \(-1c + 16 = 1\) (which should be adjusted to avoid confusion; the outcome is based on simplifying the previous steps)
• 15 = \(-15\) or directly \(= -15\) from isolating \(c\)
• Divide both sides by \(-1\).

Thus, the complete answer is: \[ c = 15 \]

It is also straightforward to note that:

1. "Add c to both sides" → Step 1
2. "Subtract 16 from both sides" → Step 2
3. "Divide both sides by -1" → Final calculation to isolate \(c\).

Adjust or clarify if needed for planarity in description!