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Simplifying -10.2 = k + -1.4 Reorder the terms: -10.2 = -1.4 + k Solving -10.2 = -1.4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10.2 + -1k = -1.4 + k + -1k Combine like terms: k + -1k = 0 -10.2 + -1k = -1.4 + 0 -10.2 + -1k = -1.4 Add '10.2' to each side of the equation. -10.2 + 10.2 + -1k = -1.4 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + -1k = -1.4 + 10.2 -1k = -1.4 + 10.2 Combine like terms: -1.4 + 10.2 = 8.8 -1k = 8.8 Divide each side by '-1'. k = -8.8 Simplifying k = -8.8
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