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question write an equivalent expression by distributing the \−\ sign ou…

Question

question
write an equivalent expression by distributing the \−\ sign outside the parentheses:
−(−9d + 4.9)

Explanation:

Step1: Apply distributive property

The distributive property for a negative sign outside parentheses is \( - (a + b) = -a - b \), or more generally, \( - (a - b) = -a + b \). Here, we have \( -(-9d + 4.9) \), so we distribute the negative sign to each term inside the parentheses.
For the first term: \( -(-9d) = 9d \) (because multiplying two negative numbers gives a positive number).
For the second term: \( -(4.9) = -4.9 \) (because multiplying a negative number by a positive number gives a negative number).

Step2: Combine the terms

After distributing the negative sign, we combine the two terms we found. So the expression becomes \( 9d - 4.9 \).

Answer:

\( 9d - 4.9 \)