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Simplifying 0.5(8k + 10) + -6k = 0 Reorder the terms: 0.5(10 + 8k) + -6k = 0 (10 * 0.5 + 8k * 0.5) + -6k = 0 (5 + 4k) + -6k = 0 Combine like terms: 4k + -6k = -2k 5 + -2k = 0 Solving 5 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = 0 + -5 -2k = 0 + -5 Combine like terms: 0 + -5 = -5 -2k = -5 Divide each side by '-2'. k = 2.5 Simplifying k = 2.5
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