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Two more than the product of a number and 3 is equal to 5. Write an equation where the variable is w.

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Final answer:

The equation for the given statement is 3w + 2 = 5. By subtracting 2 from both sides and then dividing by 3, the value of the variable w is found to be 1.

Step-by-step explanation:

The equation that represents the statement "Two more than the product of a number and 3 is equal to 5" with the variable w is:

3w + 2 = 5.

To solve for w, follow these steps:

  1. Subtract 2 from both sides of the equation: 3w + 2 - 2 = 5 - 2.
  2. Simplify both sides: 3w = 3.
  3. Divide both sides by 3 to solve for w: w = 3 / 3.
  4. Therefore, w = 1.

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