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Simplifying 0.3(k + -0.2) + 1.6 = 17 Reorder the terms: 0.3(-0.2 + k) + 1.6 = 17 (-0.2 * 0.3 + k * 0.3) + 1.6 = 17 (-0.06 + 0.3k) + 1.6 = 17 Reorder the terms: -0.06 + 1.6 + 0.3k = 17 Combine like terms: -0.06 + 1.6 = 1.54 1.54 + 0.3k = 17 Solving 1.54 + 0.3k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.54' to each side of the equation. 1.54 + -1.54 + 0.3k = 17 + -1.54 Combine like terms: 1.54 + -1.54 = 0.00 0.00 + 0.3k = 17 + -1.54 0.3k = 17 + -1.54 Combine like terms: 17 + -1.54 = 15.46 0.3k = 15.46 Divide each side by '0.3'. k = 51.53333333 Simplifying k = 51.53333333
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