Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -15a - 19 + 4a = -15a - 7 -11a - 19 = -15a - 7 □ - 19 = -7 add 15a to both sides 4a = 12 □ a = □ divide both sides by 4

Explanation:

Step1: Identify the first missing description

The step goes from \(-15a - 19 + 4a=-15a - 7\) to \(-11a - 19=-15a - 7\). We combined like terms (\(-15a + 4a=-11a\)). So the description is "Combine like terms".

Step2: Find the missing term after adding \(15a\)

We have \(-11a - 19=-15a - 7\). Add \(15a\) to both sides: \(-11a+15a - 19=-15a + 15a - 7\), which simplifies to \(4a-19=-7\). So the missing term is \(4a\).

Step3: Identify the description for \(4a = 12\)

We go from \(4a-19=-7\) to \(4a = 12\). We add \(19\) to both sides (since \(-19+19 = 0\) and \(-7 + 19=12\)). So the description is "Add 19 to both sides".

Step4: Solve for \(a\)

We have \(4a = 12\). Divide both sides by \(4\): \(a=\frac{12}{4}=3\).

Answer:

• First missing description: Combine like terms
• Missing term: \(4a\)
• Second missing description: Add 19 to both sides
• Missing value for \(a\): \(3\)

(For the table filling:

• First dropdown: Combine like terms
• Box: \(4a\)
• Second dropdown: Add 19 to both sides
• Last box: \(3\))