simplify (0+9k)+k

To simplify the expression (0+9k)+k, you can start by applying the distributive property, which states that a(b + c) = ab + ac. In this case, we have (0 + 9k) + k.

First, let's simplify the expression within the parentheses. Since 0 is the additive identity, adding 0 to any number does not change its value. Therefore, (0 + 9k) simplifies to just 9k.

Now, the expression becomes 9k + k. To simplify further, we can combine like terms, which means adding together the coefficients of the same variable. In this case, both terms have the variable k.

The coefficient of k in 9k is 9, and the coefficient of k in k is 1. So, when we add 9k + k, we add the coefficients to get 10k.

Therefore, the simplified form of (0+9k)+k is 10k.