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Simplifying 0.5k + 6 = 4k + -8 Reorder the terms: 6 + 0.5k = 4k + -8 Reorder the terms: 6 + 0.5k = -8 + 4k Solving 6 + 0.5k = -8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 6 + 0.5k + -4k = -8 + 4k + -4k Combine like terms: 0.5k + -4k = -3.5k 6 + -3.5k = -8 + 4k + -4k Combine like terms: 4k + -4k = 0 6 + -3.5k = -8 + 0 6 + -3.5k = -8 Add '-6' to each side of the equation. 6 + -6 + -3.5k = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -3.5k = -8 + -6 -3.5k = -8 + -6 Combine like terms: -8 + -6 = -14 -3.5k = -14 Divide each side by '-3.5'. k = 4 Simplifying k = 4
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