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Write an equation using n for the variable for each sentence bel 46. A number divided by -9 , decreased by 18 , is -17 .

Write an equation using n n for the variable for each sentence bel 4646. A number divided by −9-9 , decreased by 1818 , is −17-17 .

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Full solution

Q. Write an equation using n n for the variable for each sentence bel 4646. A number divided by −9-9 , decreased by 1818 , is −17-17 .
  1. Denote unknown number as nn: Let's denote the unknown number as nn. According to the problem, the number divided by −9-9 and then decreased by 1818 equals −17-17. We can write this as an equation:\newlinen−9−18=−17\frac{n}{-9} - 18 = -17
  2. Write equation with nn: To find the equation that represents this relationship, we need to isolate nn. First, we'll add 1818 to both sides of the equation to get rid of the −18-18 on the left side:\newlinen−9−18+18=−17+18\frac{n}{-9} - 18 + 18 = -17 + 18
  3. Isolate n in equation: Simplifying both sides of the equation gives us: n−9=1\frac{n}{-9} = 1
  4. Add 1818 to both sides: Now, to solve for nn, we'll multiply both sides of the equation by −9-9:(n−9)⋅−9=1⋅−9\left(\frac{n}{-9}\right) \cdot -9 = 1 \cdot -9
  5. Simplify both sides: Multiplying both sides by −9-9 cancels out the division by −9-9 on the left side, and we get: n=−9n = -9

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