The equation \(0 = -3b + 40\) represents a linear equation that you are solving for the variable \(b\). Here’s a breakdown of each step:
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Starting Equation: \[ 0 = -3b + 40 \] This means that the expression \(-3b + 40\) equals zero.
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Rearranging the Equation: To isolate the term involving \(b\), you can add \(3b\) to both sides: \[ 3b = 40 \] Now all terms involving \(b\) are on one side, and the constants are on the other side.
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Solving for \(b\): Next, to find the value of \(b\), divide both sides by 3: \[ b = \frac{40}{3} \] This is the exact solution for \(b\).
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Approximation: Finally, if you want to express \(\frac{40}{3}\) as a decimal, you can calculate it: \[ b \approx 13.33 \] This approximation means that \(b\) is roughly equal to 13.33.
In summary, the entire process shows how to isolate and solve for the variable \(b\) in the given linear equation, resulting in \(b = \frac{40}{3}\) or approximately \(13.33\).
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