Answer:
Therefore, the correct simplification of the expression -2(h+8k) is -2h - 16k, not -2h + 16k as your friend suggested.
Explanation:
Your friend's simplification of the expression -2(h+8k) is incorrect. Let's go through the steps to simplify the expression correctly:
-2(h+8k)
To simplify the expression, we need to distribute the -2 to both terms inside the parentheses:
-2 * h + -2 * 8k
This gives us:
-2h + (-16k)
Notice that when distributing the -2 to 8k, the negative sign applies to both the coefficient (2) and the variable (k).
Therefore, the correct simplification of the expression -2(h+8k) is -2h - 16k, not -2h + 16k as your friend suggested.