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Solve for qq.\newline15+1−12q=−18q−1415 + 1 - 12q = -18q - 14\newlineq=q = __

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Full solution

Q. Solve for qq.\newline15+1−12q=−18q−1415 + 1 - 12q = -18q - 14\newlineq=q = __
  1. Combine like terms: Combine like terms on the left side of the equation.\newline15+1−12q=−18q−1415 + 1 - 12q = -18q - 14\newline(15+1)−12q=−18q−14(15 + 1) - 12q = -18q - 14\newline16−12q=−18q−1416 - 12q = -18q - 14
  2. Add qq terms: Add 18q18q to both sides to get all the qq terms on one side.\newline16−12q+18q=−18q−14+18q16 - 12q + 18q = -18q - 14 + 18q\newline16+6q=−1416 + 6q = -14
  3. Subtract to isolate qq: Subtract 1616 from both sides to isolate the qq term.\newline16+6q−16=−14−1616 + 6q - 16 = -14 - 16\newline6q=−306q = -30
  4. Divide to solve for q: Divide both sides by 66 to solve for qq.6q6=−306\frac{6q}{6} = \frac{-30}{6}q=−5q = -5

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