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Solve for q. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 22 q+73 > 52 q+63

Solve for qq. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.\newline22q + 73 > 52q + 63

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Full solution

Q. Solve for qq. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.\newline22q+73>52q+6322q + 73 > 52q + 63
  1. Subtract 22q22q: Subtract 22q22q from both sides of the inequality to get all the qq terms on one side.\newline22q + 73 - 22q > 52q + 63 - 22q\newlineSimplify the equation.\newline73 > 30q + 63
  2. Simplify the equation: Subtract 6363 from both sides of the inequality to isolate the term with qq.\newline73 - 63 > 30q + 63 - 63\newlineSimplify the equation.\newline10 > 30q
  3. Subtract 6363: Divide both sides of the inequality by 3030 to solve for qq.\newline\frac{10}{30} > \frac{30q}{30}\newlineSimplify the equation.\newline\frac{1}{3} > q

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