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Solve for 
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Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

30 b+53 >= 18 b-83

Solve for bb. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.\newline30b+5318b8330b + 53 \geq 18b - 83

Full solution

Q. Solve for bb. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.\newline30b+5318b8330b + 53 \geq 18b - 83
  1. Isolate variable b: First, we want to isolate the variable b on one side of the inequality. To do this, we will subtract 1818b from both sides.\newline3030b + 5353 - 1818b \(0\).\(5\)em] \geq \(18\)b - \(83\) - \(18\)b
  2. Simplify both sides: Now, we simplify both sides of the inequality by combining like terms.\(\newline\)\((30b - 18b) + 53 \geq -83\)\(\newline\)\(12b + 53 \geq -83\)
  3. Isolate \(b\) completely: Next, we want to isolate \(b\) completely. To do this, we will subtract \(53\) from both sides of the inequality.\[12b + 53 - 53 \geq -83 - 5312b13612b \geq -136
  4. Divide both sides: Finally, we divide both sides of the inequality by 1212 to solve for bb.\newline12b1213612\frac{12b}{12} \geq \frac{-136}{12}\newlineb13612b \geq \frac{-136}{12}
  5. Reduce the fraction: We reduce the fraction 13612-\frac{136}{12} to its lowest terms.\newlineb1113b \geq -11\frac{1}{3}

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