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Solve for gg.9(g17)99(g - 17) \geq -9

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Q. Solve for gg.9(g17)99(g - 17) \geq -9
  1. Distribute 99: First, we need to distribute the 99 across the terms inside the parentheses.\newlineCalculation: 9(g17)=9g1539(g - 17) = 9g - 153\newlineReasoning: Distributive property a(b+c)=ab+aca(b + c) = ab + ac.\newlineMath error check:
  2. Isolate variable term: Next, we will isolate the variable term on one side of the inequality.\newlineCalculation: 9g15399g - 153 \geq -9\newlineReasoning: The inequality is already set up to isolate the variable term.\newlineMath error check:
  3. Add 153153 to both sides: Now, we add 153153 to both sides of the inequality to move the constant term to the other side.\newlineCalculation: 9g153+1539+1539g - 153 + 153 \geq -9 + 153\newlineReasoning: To isolate the variable, we need to get rid of the constant on the same side as the variable.\newlineMath error check:
  4. Simplify after adding 153153: Simplify the inequality after adding 153153 to both sides.\newlineCalculation: 9g1449g \geq 144\newlineReasoning: Simplifying the inequality to find the value of gg.\newlineMath error check:
  5. Divide by 99: Finally, we divide both sides of the inequality by 99 to solve for g.\newlineCalculation: g1449g \geq \frac{144}{9}\newlineReasoning: To solve for g, we need to divide both sides by the coefficient of g.\newlineMath error check:
  6. Simplify division: Simplify the division to find the final value of gg.\newlineCalculation: g16g \geq 16\newlineReasoning: Dividing 144144 by 99 gives us the final value for gg.\newlineMath error check:

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