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Simplifying 26.5 + -1k = 0.5(59 + -1k) 26.5 + -1k = (59 * 0.5 + -1k * 0.5) 26.5 + -1k = (29.5 + -0.5k) Solving 26.5 + -1k = 29.5 + -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. 26.5 + -1k + 0.5k = 29.5 + -0.5k + 0.5k Combine like terms: -1k + 0.5k = -0.5k 26.5 + -0.5k = 29.5 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 26.5 + -0.5k = 29.5 + 0.0 26.5 + -0.5k = 29.5 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -0.5k = 29.5 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -0.5k = 29.5 + -26.5 -0.5k = 29.5 + -26.5 Combine like terms: 29.5 + -26.5 = 3 -0.5k = 3 Divide each side by '-0.5'. k = -6 Simplifying k = -6
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