Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -3(7c + 19) - 17 = -20c + 7 -21c - 57 - 17 = -20c + 7 apply the distributive property -21c - 74 = -20c + 7 combine like terms -21c - 74 = 7 add 20c to both sides -c = 81 add 74 to both sides c = -81 dropdown with options: add -1 to both sides, subtract -1 from both sides, divide both sides by -1, combine like terms

Explanation:

Step1: Verify distributive property

$-3(7c + 19) = -21c - 57$, so $-21c - 57 - 17 = -20c + 7$

Step2: Combine constant terms

$-57 - 17 = -74$, so $-21c - 74 = -20c + 7$

Step3: Add 20c to both sides

$-21c + 20c - 74 = -20c + 20c + 7$ simplifies to $-21c - 74 = 7$

Step4: Add 74 to both sides

$-21c - 74 + 74 = 7 + 74$ simplifies to $-c = 81$

Step5: Isolate c

To solve $-c = 81$, divide both sides by -1.

Answer:

Divide both sides by -1
$c = -81$