Solve for b. Express your answer as a proper or improper fraction in simplest terms. (3)/(4)b-(5)/(6)=-(1)/(4) Answer: b=

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Solve for  b. Express your answer as a proper or improper fraction in simplest terms.  (3)/(4)b-(5)/(6)=-(1)/(4) Answer:  b=

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Isolate variable b: First, we need to isolate the variable b on one side of the equation. To do this, we will start by adding (5)/(6) to both sides of the equation to move the constant term from the left side to the right side. (3)/(4)b - (5)/(6) + (5)/(6) = -(1)/(4) + (5)/(6)Simplify both sides: Now, we simplify both sides of the equation by combining like terms. (3)/(4)b = -(1)/(4) + (5)/(6)Find common denominator: Next, we need to find a common denominator to combine the fractions on the right side of the equation. The common denominator for 4 and 6 is 12. (3)/(4)b = [-(1)/(4) * (3)/(3)] + [(5)/(6) * (2)/(2)] (3)/(4)b = [-(3)/(12)] + [(10)/(12)]Add fractions: Now we add the fractions on the right side of the equation. (3)/(4)b = [-(3)/(12) + (10)/(12)] (3)/(4)b = (7)/(12)Divide by (3)/(4): To solve for b, we need to divide both sides of the equation by (3)/(4). To do this, we multiply both sides by the reciprocal of (3)/(4), which is (4)/(3). b = (7)/(12) * (4)/(3)Multiply numerators and denominators: Now we multiply the numerators and the denominators. b = (7 * 4) / (12 * 3) b = 28 / 36Simplify fraction: Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. b = (28/4) / (36/4) b = 7 / 9

Solve for $b$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{3}{4} b-\frac{5}{6}=-\frac{1}{4}$ $\newline$ Answer: $b=$

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Solve for $b$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{3}{4} b-\frac{5}{6}=-\frac{1}{4}$ $\newline$ Answer: $b=$