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 subtract 74 from both sides multiply both sides by 74 divide both sides by 74 apply the distributive property c = -81

Explanation:

Step1: Verify distributive property

$-3(7c + 19) = -21c + (-3)\times19 = -21c - 57$

Step2: Combine constant terms

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

Step3: Add 20c to both sides

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

Step4: Isolate the variable term

Add 74 to both sides: $-c - 74 + 74 = 7 + 74$, so $-c = 81$

Step5: Solve for c

Multiply both sides by -1: $c = -81$

Answer:

The missing description for the step leading to $-c = 81$ is Add 74 to both sides, and the completed equation solution results in $c = -81$