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Simplifying 13 = 0.5k + 1 Reorder the terms: 13 = 1 + 0.5k Solving 13 = 1 + 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. 13 + -0.5k = 1 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 13 + -0.5k = 1 + 0.0 13 + -0.5k = 1 Add '-13' to each side of the equation. 13 + -13 + -0.5k = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -0.5k = 1 + -13 -0.5k = 1 + -13 Combine like terms: 1 + -13 = -12 -0.5k = -12 Divide each side by '-0.5'. k = 24 Simplifying k = 24
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