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Simplifying 2.1(k + -15.2) + 10 = 17.35 Reorder the terms: 2.1(-15.2 + k) + 10 = 17.35 (-15.2 * 2.1 + k * 2.1) + 10 = 17.35 (-31.92 + 2.1k) + 10 = 17.35 Reorder the terms: -31.92 + 10 + 2.1k = 17.35 Combine like terms: -31.92 + 10 = -21.92 -21.92 + 2.1k = 17.35 Solving -21.92 + 2.1k = 17.35 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21.92' to each side of the equation. -21.92 + 21.92 + 2.1k = 17.35 + 21.92 Combine like terms: -21.92 + 21.92 = 0.00 0.00 + 2.1k = 17.35 + 21.92 2.1k = 17.35 + 21.92 Combine like terms: 17.35 + 21.92 = 39.27 2.1k = 39.27 Divide each side by '2.1'. k = 18.7 Simplifying k = 18.7
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