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Simplifying 0.3k + 0.5k + 13 = 1 Reorder the terms: 13 + 0.3k + 0.5k = 1 Combine like terms: 0.3k + 0.5k = 0.8k 13 + 0.8k = 1 Solving 13 + 0.8k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 0.8k = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 0.8k = 1 + -13 0.8k = 1 + -13 Combine like terms: 1 + -13 = -12 0.8k = -12 Divide each side by '0.8'. k = -15 Simplifying k = -15
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