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Simplifying 1.5k + -1(k + 2.4) = 17.4 Reorder the terms: 1.5k + -1(2.4 + k) = 17.4 1.5k + (2.4 * -1 + k * -1) = 17.4 1.5k + (-2.4 + -1k) = 17.4 Reorder the terms: -2.4 + 1.5k + -1k = 17.4 Combine like terms: 1.5k + -1k = 0.5k -2.4 + 0.5k = 17.4 Solving -2.4 + 0.5k = 17.4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.5k = 17.4 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.5k = 17.4 + 2.4 0.5k = 17.4 + 2.4 Combine like terms: 17.4 + 2.4 = 19.8 0.5k = 19.8 Divide each side by '0.5'. k = 39.6 Simplifying k = 39.6
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