Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. 5(-v - 12) - v = v - 4 -5v - \square - v = v - 4 \square - 60 = v - 4 \square - 60 = -4 -7v = \square v = \square add 5 to both sides subtract 5 from both sides multiply both sides by 5 divide both sides by 5 apply the distributive property

Explanation:

Step1: Apply distributive property

$5(-v - 12) - v = v - 4$
$\implies -5v - 60 - v = v - 4$

Step2: Combine like terms

$-5v - 60 - v = v - 4$
$\implies -6v - 60 = v - 4$

Step3: Subtract $v$ from both sides

$-6v - 60 = v - 4$
$\implies -7v - 60 = -4$

Step4: Add 60 to both sides

$-7v - 60 = -4$
$\implies -7v = 56$

Step5: Divide by -7 on both sides

$-7v = 56$
$\implies v = \frac{56}{-7} = -8$

Answer:

1. Missing term (first blank): $60$; Missing description (first dropdown): Apply the distributive property
2. Missing term (second blank): $-6v$
3. Missing term (third blank): $-7v$; Missing description (second dropdown): Subtract $v$ from both sides
4. Missing term (fourth blank): $56$; Missing description (third dropdown): Add 60 to both sides
5. Missing term (fifth blank): $-8$; Missing description (fourth dropdown): Divide both sides by $-7$

Filled equation steps:
$5(-v - 12) - v = v - 4$
$-5v - \boldsymbol{60} - v = v - 4$ (Apply the distributive property)
$\boldsymbol{-6v} - 60 = v - 4$
$\boldsymbol{-7v} - 60 = -4$ (Subtract $v$ from both sides)
$-7v = \boldsymbol{56}$ (Add 60 to both sides)
$v = \boldsymbol{-8}$ (Divide both sides by $-7$)