To show that \( 8(5 + h + 2) \) is equivalent to \( 8h + 56 \), we can follow these steps:
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Combine like terms inside the parentheses: \[ 5 + h + 2 = h + (5 + 2) = h + 7 \]
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Substitute this back into the expression we want to simplify: \[ 8(5 + h + 2) = 8(h + 7) \]
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Distribute the 8: \[ 8(h + 7) = 8h + 8 \cdot 7 \]
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Calculate \( 8 \cdot 7 \): \[ 8 \cdot 7 = 56 \]
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Now combine this into the expression: \[ 8h + 56 \]
So, we conclude: \[ 8(5 + h + 2) = 8h + 56 \]
To fill in the blanks you provided:
- 8(h + 7)
- 8* 7
Thus the completed statement looks like this: \[ 8(h + 7) \quad 8h + 8*7 \]