Final answer:
To solve the equation 10 + 2n = 8n - 2n + 10 for n, combine like terms and solve for n by dividing both sides of the equation.
Step-by-step explanation:
To solve the equation 10 + 2n = 8n - 2n + 10, you can simplify it by combining like terms. First, combine the 10 and the 10 on the right side of the equation to get 20. Then, combine the 2n and the -2n to get 0. So, you're left with 20 = 8n. Finally, divide both sides of the equation by 8 to solve for n. So, n = 2.5.