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Solve for pp.\newline6p17p=116p - 17p = 11\newlinep=p = ____

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Q. Solve for pp.\newline6p17p=116p - 17p = 11\newlinep=p = ____
  1. Combine Like Terms: Combine like terms on the left side of the equation.\newlineWe have 6p6p and 17p-17p, which are like terms because they both contain the variable pp.\newlineTo combine them, we add their coefficients: 617=116 - 17 = -11.\newlineSo, 6p17p6p - 17p simplifies to 11p-11p.
  2. Write Simplified Equation: Write the simplified equation.\newlineAfter combining like terms, our equation is now 11p=11-11p = 11.
  3. Solve for pp: Solve for pp by dividing both sides of the equation by 11-11.\newlineTo isolate pp, we divide both sides of the equation by 11-11.\newline11p/11=11/11-11p / -11 = 11 / -11\newlineThis simplifies to p=1p = -1.
  4. Check Solution: Check the solution.\newlineWe substitute p=1p = -1 back into the original equation to verify our solution.\newline6(1)17(1)=116(-1) - 17(-1) = 11\newline6+17=11-6 + 17 = 11\newline11=1111 = 11\newlineThe left side of the equation equals the right side, confirming that p=1p = -1 is the correct solution.