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Simplifying -14.2 = -1.5k + 3.2 Reorder the terms: -14.2 = 3.2 + -1.5k Solving -14.2 = 3.2 + -1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5k' to each side of the equation. -14.2 + 1.5k = 3.2 + -1.5k + 1.5k Combine like terms: -1.5k + 1.5k = 0.0 -14.2 + 1.5k = 3.2 + 0.0 -14.2 + 1.5k = 3.2 Add '14.2' to each side of the equation. -14.2 + 14.2 + 1.5k = 3.2 + 14.2 Combine like terms: -14.2 + 14.2 = 0.0 0.0 + 1.5k = 3.2 + 14.2 1.5k = 3.2 + 14.2 Combine like terms: 3.2 + 14.2 = 17.4 1.5k = 17.4 Divide each side by '1.5'. k = 11.6 Simplifying k = 11.6
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