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Simplifying 0.5k + 2 = 5 + 8.3k Reorder the terms: 2 + 0.5k = 5 + 8.3k Solving 2 + 0.5k = 5 + 8.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.3k' to each side of the equation. 2 + 0.5k + -8.3k = 5 + 8.3k + -8.3k Combine like terms: 0.5k + -8.3k = -7.8k 2 + -7.8k = 5 + 8.3k + -8.3k Combine like terms: 8.3k + -8.3k = 0.0 2 + -7.8k = 5 + 0.0 2 + -7.8k = 5 Add '-2' to each side of the equation. 2 + -2 + -7.8k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -7.8k = 5 + -2 -7.8k = 5 + -2 Combine like terms: 5 + -2 = 3 -7.8k = 3 Divide each side by '-7.8'. k = -0.3846153846 Simplifying k = -0.3846153846
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