To rewrite the expression \(18 - 8(3x - 8)\) using the distributive property, we first need to distribute the \(-8\) across the terms within the parentheses.
We can rewrite the expression as follows:
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Rewrite subtraction as addition: \[ 18 - 8(3x - 8) = 18 + (-8)(3x - 8) \]
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Now distribute \(-8\) to each term inside the parentheses: \[ -8(3x) + -8(-8) = -24x + 64 \]
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Now, combine these terms back into the original expression: \[ 18 + (-24x + 64) \]
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Finally, combine the constant terms \(18 + 64\): \[ 18 + 64 = 82 \]
So, the equivalent expression is: \[ -24x + 82 \]
To fill in the blanks provided: \[ = 18 + (-8)(3x + 8) \] Continuing the next steps gives: \[ = 18 + (-24x) + 64 \]
Thus, your final equivalent expression is: \[ -24x + 82 \]