Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -5(12v - 8) + 7v = -12v - 1 -60v + \square + 7v = -12v - 1 \square + 40 = -12v - 1 \square + 40 = -1 -41v = \square v = \square

Explanation:

Step1: Apply distributive property

$-5(12v - 8) = -60v + 40$, so the equation becomes:
$-60v + 40 + 7v = -12v - 1$
Description: Distribute $-5$ to $12v-8$

Step2: Combine like terms

Combine $-60v$ and $7v$:
$-53v + 40 = -12v - 1$
Description: Combine $-60v$ and $7v$

Step3: Add $12v$ to both sides

Add $12v$ to each side to collect $v$-terms on left:
$-41v + 40 = -1$
Description: Add $12v$ to both sides

Step4: Subtract 40 from both sides

Subtract 40 from each side to isolate $v$-term:
$-41v = -1 - 40 = -41$
Description: Subtract 40 from both sides

Step5: Solve for $v$

Divide both sides by $-41$:
$v = \frac{-41}{-41} = 1$
Description: Divide by $-41$ on both sides

Answer:

1. Missing term: $40$; Description: Distribute $-5$ to $12v-8$
2. Missing term: $-53v$; Description: Combine like $v$-terms
3. Missing term: $-41v$; Description: Add $12v$ to both sides
4. Missing term: $-41$; Description: Subtract 40 from both sides
5. Missing term: $1$; Description: Divide by $-41$ on both sides