To subtract \(3r\) from both sides of the equation \(3r - 2 = 6r + 10\), we perform the following steps:
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Start with the original equation: \[ 3r - 2 = 6r + 10 \]
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Subtract \(3r\) from both sides: \[ 3r - 3r - 2 = 6r - 3r + 10 \]
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Simplify both sides: \[ -2 = 3r + 10 \]
Now, all the \(r\) terms are on the right side of the equation. The equation is now: \[ -2 = 3r + 10 \]