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Find p using Landry's Method. {:[6(p+p+11)=162],[(6(p+p+11))/(6)=(162)/(6)]:}

Find p using Landry's Method.\newline6(p+p+11)=1626(p+p+11)6=1626 \begin{array}{l} 6(p+p+11)=162 \\ \frac{6(p+p+11)}{6}=\frac{162}{6} \end{array}

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Full solution

Q. Find p using Landry's Method.\newline6(p+p+11)=1626(p+p+11)6=1626 \begin{array}{l} 6(p+p+11)=162 \\ \frac{6(p+p+11)}{6}=\frac{162}{6} \end{array}
  1. Combine Like Terms: Simplify the equation inside the parentheses.\newlineWe have the equation 6(p+p+11)=1626(p + p + 11) = 162. First, we combine like terms inside the parentheses.\newlinep+p=2pp + p = 2p\newlineSo the equation becomes 6(2p+11)=1626(2p + 11) = 162.
  2. Divide by 66: Divide both sides of the equation by 66 to isolate the term with the variable pp.6(2p+11)6=1626\frac{6(2p + 11)}{6} = \frac{162}{6}This simplifies to:2p+11=272p + 11 = 27
  3. Subtract 1111: Subtract 1111 from both sides of the equation to solve for 2p2p.\newline2p+11−11=27−112p + 11 - 11 = 27 - 11\newlineThis simplifies to:\newline2p=162p = 16
  4. Divide by 22: Divide both sides of the equation by 22 to solve for pp.2p2=162\frac{2p}{2} = \frac{16}{2}This simplifies to:p=8p = 8

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