To solve the equation \((3/5)x + 10 = 16\), follow these steps:
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Subtract 10 from both sides: \[ \frac{3}{5}x + 10 - 10 = 16 - 10 \] \[ \frac{3}{5}x = 6 \]
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Multiply both sides by the reciprocal of \(\frac{3}{5}\), which is \(\frac{5}{3}\): \[ x = 6 \times \frac{5}{3} \]
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Calculate the right side: \[ x = \frac{30}{3} = 10 \]
So, the solution is: \[ \boxed{10} \]