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Simplifying k + -3k + 6k + 5 + -8k = 0 Reorder the terms: 5 + k + -3k + 6k + -8k = 0 Combine like terms: k + -3k = -2k 5 + -2k + 6k + -8k = 0 Combine like terms: -2k + 6k = 4k 5 + 4k + -8k = 0 Combine like terms: 4k + -8k = -4k 5 + -4k = 0 Solving 5 + -4k = 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 + -4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4k = 0 + -5 -4k = 0 + -5 Combine like terms: 0 + -5 = -5 -4k = -5 Divide each side by '-4'. k = 1.25 Simplifying k = 1.25
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