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question use the distributive property to write an equivalent expressio…

Question

question
use the distributive property to write an equivalent expression.
2(r + 7)
answer attempt 1 out of 2

Explanation:

Step1: Recall distributive property

The distributive property states that \( a(b + c)=ab + ac \). Here, \( a = 2 \), \( b=r \), and \( c = 7 \).

Step2: Apply distributive property

Applying the property to \( 2(r + 7) \), we multiply 2 with each term inside the parentheses: \( 2\times r+2\times7 \).

Step3: Simplify the terms

Simplifying \( 2\times r \) gives \( 2r \) and \( 2\times7 \) gives \( 14 \). So the equivalent expression is \( 2r + 14 \).

Answer:

\( 2r + 14 \)