Subjects algebra

Solve One Step 414845

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1. **State the problem:** Solve the equation $$6.4 = \frac{w}{1.5}$$ for $$w$$. 2. **Formula and rule:** To solve for $$w$$ when it is divided by a number, multiply both sides of the equation by that number to isolate $$w$$. 3. **Multiply both sides by 1.5:** $$6.4 = \frac{w}{1.5}$$ Multiply both sides by $$1.5$$: $$6.4 \times 1.5 = \frac{w}{1.5} \times 1.5$$ 4. **Cancel common factors:** $$6.4 \times 1.5 = \cancel{\frac{w}{1.5}} \times \cancel{1.5}$$ 5. **Calculate the left side:** $$6.4 \times 1.5 = 9.6$$ 6. **Final solution:** $$w = 9.6$$ 7. **Check the options:** - $$w = 7.9$$ (No) - $$w = 9.8$$ (No) - $$w = 4.9$$ (No) - None of these are the solution to the equation (Yes, because $$9.6$$ is not listed) **Answer:** None of these are the solution to the equation.