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Simplifying 8 = 2.5k + -24 + 1.5k Reorder the terms: 8 = -24 + 2.5k + 1.5k Combine like terms: 2.5k + 1.5k = 4k 8 = -24 + 4k Solving 8 = -24 + 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. 8 + -4k = -24 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -4k = -24 + 0 8 + -4k = -24 Add '-8' to each side of the equation. 8 + -8 + -4k = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -24 + -8 -4k = -24 + -8 Combine like terms: -24 + -8 = -32 -4k = -32 Divide each side by '-4'. k = 8 Simplifying k = 8
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