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Solve for 
b. Express your answer as a proper or improper fraction in simplest terms.

-(1)/(2)b+(5)/(6)=-(1)/(8)
Answer: 
b=

Solve for b b . Express your answer as a proper or improper fraction in simplest terms.\newline12b+56=18 -\frac{1}{2} b+\frac{5}{6}=-\frac{1}{8} \newlineAnswer: b= b=

Full solution

Q. Solve for b b . Express your answer as a proper or improper fraction in simplest terms.\newline12b+56=18 -\frac{1}{2} b+\frac{5}{6}=-\frac{1}{8} \newlineAnswer: b= b=
  1. Isolate term containing bb: First, we need to isolate the term containing bb on one side of the equation. To do this, we can start by subtracting 56\frac{5}{6} from both sides of the equation to get rid of the constant term on the left side.12b+5656=1856-\frac{1}{2}b + \frac{5}{6} - \frac{5}{6} = -\frac{1}{8} - \frac{5}{6}
  2. Simplify both sides: Now, we simplify both sides of the equation by combining like terms.\newline12b=1856-\frac{1}{2}b = -\frac{1}{8} - \frac{5}{6}\newlineTo subtract the fractions on the right side, we need a common denominator, which is 2424.\newline12b=3242024-\frac{1}{2}b = -\frac{3}{24} - \frac{20}{24}
  3. Combine fractions: Combine the fractions on the right side by subtracting their numerators. \newline12b=32024-\frac{1}{2}b = -\frac{3 - 20}{24}\newline12b=2324-\frac{1}{2}b = -\frac{23}{24}
  4. Solve for bb: Now, we need to solve for bb by dividing both sides of the equation by 12-\frac{1}{2}. To do this, we multiply both sides by the reciprocal of 12-\frac{1}{2}, which is 2-2.\newlineb = \left(-\frac{\(23\)}{\(24\)}\right) \times \left(\(-2\right)
  5. Multiply numerators and denominators: Multiply the numerators and denominators. \newlineb=23×224×1b = \frac{23 \times 2}{24 \times 1}\newlineb=4624b = \frac{46}{24}
  6. Simplify the fraction: Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22. \newlineb=462/242b = \frac{46}{2} / \frac{24}{2}\newlineb=2312b = \frac{23}{12}

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