Complete the process of solving the equation.

Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
7u–18–12u=2
–
5u–18=2
Add 7u to both sides
Subtract 7u from both sides
Multiply both sides by 7u
Divide both sides by 7u
Combine like terms
–
5u=
Add 18 to both sides
u=
Divide both sides by
–
5

Answer 1

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

Starting with the equation: \[ 7u - 18 - 12u = 2 \]

1. Combine like terms: \[ 7u - 12u - 18 = 2 \] \[ -5u - 18 = 2 \]

2. Add 18 to both sides: \[ -5u = 2 + 18 \] \[ -5u = 20 \]

3. Divide both sides by -5: \[ u = \frac{20}{-5} \] \[ u = -4 \]

Now we can summarize the missing descriptions and complete the process:

Missing terms:

• Combine like terms: (–5u = 20)
• Add 18 to both sides: (–5u = 20)
• Divide both sides by: (–5)

The completed process is:

1. Combine like terms.

   • From \( 7u - 12u - 18 = 2 \) to \( -5u - 18 = 2 \).

2. Add 18 to both sides.

   • From \( -5u - 18 = 2 \) to \( -5u = 20 \).

3. Divide both sides by -5.

   • From \( -5u = 20 \) to \( u = -4 \).

Thus, the final answer for \( u \) is \( -4 \).