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Simplifying 1.25 + -0.3k + 0.5 = 1.3 + 0.5k Reorder the terms: 1.25 + 0.5 + -0.3k = 1.3 + 0.5k Combine like terms: 1.25 + 0.5 = 1.75 1.75 + -0.3k = 1.3 + 0.5k Solving 1.75 + -0.3k = 1.3 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 1.75 + -0.3k + -0.5k = 1.3 + 0.5k + -0.5k Combine like terms: -0.3k + -0.5k = -0.8k 1.75 + -0.8k = 1.3 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 1.75 + -0.8k = 1.3 + 0.0 1.75 + -0.8k = 1.3 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.8k = 1.3 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.8k = 1.3 + -1.75 -0.8k = 1.3 + -1.75 Combine like terms: 1.3 + -1.75 = -0.45 -0.8k = -0.45 Divide each side by '-0.8'. k = 0.5625 Simplifying k = 0.5625
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