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What value of pp makes this multiplication sentence true?\newlineHint: Use properties of multiplication.\newline(p⋅36)⋅849=107⋅(36⋅849)(p \cdot 36) \cdot 849 = 107 \cdot (36 \cdot 849)\newlinep=p = _____

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Solve for a variable using properties of multiplicationright chevron icon

Full solution

Q. What value of pp makes this multiplication sentence true?\newlineHint: Use properties of multiplication.\newline(p⋅36)⋅849=107⋅(36⋅849)(p \cdot 36) \cdot 849 = 107 \cdot (36 \cdot 849)\newlinep=p = _____
  1. Multiply and Substitute: Simplify the right side of the equation by multiplying 3636 and 849849 first.
  2. Calculate Right Side: Substitute the result back into the equation.
  3. Simplify Left Side: Calculate the right side of the equation.
  4. Set Equal and Solve: Simplify the left side of the equation using the associative property of multiplication.
  5. Set Equal and Solve: Simplify the left side of the equation using the associative property of multiplication. Set the simplified left side equal to the simplified right side.
  6. Set Equal and Solve: Simplify the left side of the equation using the associative property of multiplication. Set the simplified left side equal to the simplified right side. Solve for pp by dividing both sides by 3056430564.
  7. Set Equal and Solve: Simplify the left side of the equation using the associative property of multiplication. Set the simplified left side equal to the simplified right side. Solve for pp by dividing both sides by 3056430564. Perform the division to find pp.

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