Complete the process of solving the equation.

Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
2(
–
d+13)+10=
–
12
2d–26+10=
–
12
Add -2 to both sides
Subtract -2 from both sides
Multiply both sides by -2
Divide both sides by -2
Apply the distributive property
2d–16=
–
12
Add -26 to both sides
Subtract -26 from both sides
Multiply both sides by -26
Divide both sides by -26
Combine like terms
2d=
Add 16 to both sides
d=
Divide both sides by 2

Answer 1

Let's solve the equation step-by-step and fill in the missing terms and descriptions where necessary.

1. Start with the original equation: \[ -2(-d+13)+10 = -12 \]

2. Apply the distributive property: \[ 2d - 26 + 10 = -12 \]

3. Combine like terms: \[ 2d - 16 = -12 \]

4. Add 16 to both sides (to isolate the term with \(d\)): \[ 2d = -12 + 16 \] This simplifies to: \[ 2d = 4 \]

5. Divide both sides by 2 (to solve for \(d\)): \[ d = \frac{4}{2} \] Simplifying gives: \[ d = 2 \]

Summary of the process with descriptions:

• Start with the given equation.
• Apply the distributive property.
• Combine like terms.
• Add 16 to both sides.
• Divide both sides by 2.

Final Solution: \[ d = 2 \]

Missing Descriptions Filled In:

1. Apply the distributive property
2. Combine like terms
3. Add 16 to both sides
4. Divide both sides by 2

Missing Terms Filled In:

• \(2d - 16 = -12\)
• \(2d = 4\)
• \(d = 2\)