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Solve for vv.\newline−6v−20−17v=19−20v-6v - 20 - 17v = 19 - 20v\newlinev=v = ____

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Full solution

Q. Solve for vv.\newline−6v−20−17v=19−20v-6v - 20 - 17v = 19 - 20v\newlinev=v = ____
  1. Combine like terms: Combine like terms on the left side of the equation.\newline−6v−17v=−23v-6v - 17v = -23v\newlineSo, the equation becomes:\newline−23v−20=19−20v-23v - 20 = 19 - 20v
  2. Add vv terms together: Add 20v20v to both sides to get all the vv terms on one side.\newline−23v+20v−20=19−20v+20v-23v + 20v - 20 = 19 - 20v + 20v\newline−3v−20=19-3v - 20 = 19
  3. Isolate v term: Add 2020 to both sides to isolate the term with vv.\newline−3v−20+20=19+20-3v - 20 + 20 = 19 + 20\newline−3v=39-3v = 39
  4. Solve for v: Divide both sides by −3-3 to solve for v.\newline−3v−3=39−3\frac{-3v}{-3} = \frac{39}{-3}\newlinev=−13v = -13

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