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Simplifying 1.25 + -0.3k + 0.5 = 1.3 + 0.5 Reorder the terms: 1.25 + 0.5 + -0.3k = 1.3 + 0.5 Combine like terms: 1.25 + 0.5 = 1.75 1.75 + -0.3k = 1.3 + 0.5 Combine like terms: 1.3 + 0.5 = 1.8 1.75 + -0.3k = 1.8 Solving 1.75 + -0.3k = 1.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.3k = 1.8 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.3k = 1.8 + -1.75 -0.3k = 1.8 + -1.75 Combine like terms: 1.8 + -1.75 = 0.05 -0.3k = 0.05 Divide each side by '-0.3'. k = -0.1666666667 Simplifying k = -0.1666666667
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