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for b and simplify your answer. \\(\\frac{4}{3}b = 10\\)

Question

for b and simplify your answer.
\\(\frac{4}{3}b = 10\\)

Explanation:

Step1: Multiply both sides by 3

To eliminate the denominator, we multiply both sides of the equation \(\frac{4}{3}b = 10\) by 3. This gives us \(3\times\frac{4}{3}b = 10\times3\), which simplifies to \(4b = 30\).

Step2: Divide both sides by 4

Now, to solve for \(b\), we divide both sides of the equation \(4b = 30\) by 4. So, \(b=\frac{30}{4}\), and simplifying the fraction, we get \(b = \frac{15}{2}\) or \(b = 7.5\).

Answer:

\(b=\frac{15}{2}\) (or \(b = 7.5\))