Final answer:
The equation to find the value of N is N + (3N - 15) = 101. By combining like terms and isolating N, we discover that N equals 29.
Step-by-step explanation:
The question is asking for the algebraic equation that can be used to find the value of a number N when that number is added to 15 less than 3 times itself to give a result of 101. This can be formulated in an equation as follows: N + (3N - 15) = 101. To solve for N, you first combine like terms and then isolate the variable by performing algebraic operations.
Steps to Solve:
- Combine like terms: N + 3N = 4N; so 4N - 15 = 101
- Add 15 to both sides of the equation: 4N = 101 + 15
- Simplify the equation: 4N = 116
- Divide both sides by 4 to solve for N: N = 116 / 4
- Finish the calculation: N = 29