Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the equation and all necessary calculations.
Twice the sum of a number and seven is three times the number.
Equation: 2(n + 7) = 3n
Expansion: 2n + 14 = 3n
Solve for n:
Subtract 2n from both sides:
14 = n
Final Answer:
n = 14 is the missing number.
Equation: 2(14 + 7) = 3(14)
Simplified equation: 2(21) = 42
42 = 42 (true)