The distributive property can be used to simplify expressions by multiplying a number across addition and subtraction, creating an equivalent expression.
Here’s the complete breakdown:
- Start with \( -3 (2x - \frac{5}{6}) \)
- Applying the distributive property: \[ -3 (2x) + (-3) \left(-\frac{5}{6}\right) \]
- This simplifies to: \[ -6x + \frac{15}{6} \]
- Finally, simplify \(\frac{15}{6}\): \[ -6x + \frac{5}{2} \]
So, the filled-in blanks would be:
- The distributive property can be used to simplify expressions by multiplying a number across addition and subtraction, creating an equivalent expression.
- -3 (2x-5/6)
- -3 (2x) + (-3) \(-\frac{5}{6}\)
- -6x + \(\frac{15}{6}\)
- -6x + \(\frac{5}{2}\)
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