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simplify the expression: 7(1 + 7d) = □

Question

simplify the expression:
7(1 + 7d) = □

Explanation:

Step1: Apply distributive property

Use the distributive property \( a(b + c)=ab+ac \), here \( a = 7 \), \( b=1 \), \( c = 7d \). So we have \( 7\times1+7\times7d \).

Step2: Calculate each term

Calculate \( 7\times1 = 7 \) and \( 7\times7d=49d \). Then combine the terms: \( 7 + 49d \).

Answer:

\( 7 + 49d \)