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 - \square = -20c + 7 \square - 74 = 7 -c = \square c = \square add 57 to both sides subtract 57 from both sides multiply both sides by 57 divide both sides by 57 combine like terms

Explanation:

Step1: Distribute -3 to terms inside parentheses

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

Step2: Combine constant terms (-57 -17)

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

Step3: Add 21c to both sides

$-74 = c + 7$

Step4: Subtract 7 from both sides

$-c = 81$

Step5: Multiply by -1 to solve for c

$c = -81$

Answer:

• Missing term 1: $74$; Missing description: Combine like terms
• Missing term 2: $-21c$
• Missing term 3: $81$
• Missing term 4: $-81$