Question

Solve for n.
0.6 (10n+25) = 10+5n

Answer 1

To solve for n in the equation 0.6 (10n+25) = 10+5n, you distribute the 0.6, combine like terms, and then isolate n to find that n = -5.

Step-by-step explanation:

To solve for n, you need to apply basic algebra principles to the given equation 0.6 (10n+25) = 10+5n. Here are the steps to find the value of n:

1. Distribute the 0.6 into the parentheses: 0.6 × 10n + 0.6 × 25 = 6n + 15.
2. Move all terms involving n to one side by subtracting 5n from both sides: 6n + 15 - 5n = 10 + 5n - 5n, which simplifies to n + 15 = 10.
3. Isolate n by subtracting 15 from both sides: n + 15 - 15 = 10 - 15, which gives n = -5.

So, the solution to the equation is n = -5.