If 8 is added to twice a number and this sum is multiplied by 3, the result is the number multiplied by 3 and 9 is added to the product. What is the number?

n − a n u mb er ( 8 + 2 n ) ⋅ 3 = 3 n + 9 8 ⋅ 3 + 2 n ⋅ 3 = 3 n + 9 24 + 6 n = 3 n + 9 / − 24 24 − 24 + 6 n = 3 n + 9 − 24 6 n = 3 n − 15 / − 3 n 6 n − 3 n = 3 n − 3 n − 15 3 n = − 15 / : 3 3 n : 3 = − 15 : 3 = − 5

Answered by Anonymous | 2024-06-10

The number that satisfies the given equation is -5. We derived this by setting up the algebraic expressions according to the problem's description and solving for n . By following the steps carefully, we reached the solution systematically.
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Answered by Anonymous | 2024-12-26