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Use the distributive property to write an equivalent expression to ${-6\mathopen{}\left(p+9\right)}$ that has no grouping symbols.

Solution

To use the distributive property, we multiply the number outside the parentheses, $-6$ , with each term inside the parentheses: $\begin{aligned} \quad{-6\mathopen{}\left(p+9\right)} & =-6\cdot p - 6(9)\\ & ={-6p-54}\end{aligned}$