−3(d − 3) + 5d
I've helped you with several of these questions -- although you thought you'd fool us by posting under different names.
I'll be glad to check your answer.
To simplify the expression −3(d − 3) + 5d, we need to apply the distributive property and then combine like terms. Here's how you can do it step by step:
1. Start by applying the distributive property. Multiply −3 with each term inside the parenthesis (d − 3):
−3 * d = −3d
−3 * (−3) = 9
The expression becomes: −3d + 9 + 5d
2. Now, combine like terms. Combine the terms with the same variable, which is "d":
−3d + 5d = 2d
The expression simplifies to: 2d + 9
So, the simplified form of the expression is 2d + 9.