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Solve for qq.\newline−9=3(q−18)-9 = 3(q - 18)

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Full solution

Q. Solve for qq.\newline−9=3(q−18)-9 = 3(q - 18)
  1. Distribute property: Simplify 3(q−18)3(q - 18) by using the distributive property.\newline3(q−18)3(q - 18)\newline= 3(q)+3(−18)3(q) + 3(-18)\newline= 3q−543q - 54
  2. Set up equation: Set up the equation with the simplified expression.\newline−9=3q−54-9 = 3q - 54
  3. Isolate 3q3q: Isolate 3q3q by adding 5454 to both sides of the equation.\newline−9+54=3q−54+54-9 + 54 = 3q - 54 + 54\newline45=3q45 = 3q
  4. Divide by 33: Divide both sides by 33 to solve for qq.453=3q3\frac{45}{3} = \frac{3q}{3}15=q15 = q

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