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Simplifying 3(2k + -0.5) = 17.85 Reorder the terms: 3(-0.5 + 2k) = 17.85 (-0.5 * 3 + 2k * 3) = 17.85 (-1.5 + 6k) = 17.85 Solving -1.5 + 6k = 17.85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 6k = 17.85 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 6k = 17.85 + 1.5 6k = 17.85 + 1.5 Combine like terms: 17.85 + 1.5 = 19.35 6k = 19.35 Divide each side by '6'. k = 3.225 Simplifying k = 3.225
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