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Simplifying 4k + 0.5 = 3k + -2.5 Reorder the terms: 0.5 + 4k = 3k + -2.5 Reorder the terms: 0.5 + 4k = -2.5 + 3k Solving 0.5 + 4k = -2.5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 0.5 + 4k + -3k = -2.5 + 3k + -3k Combine like terms: 4k + -3k = 1k 0.5 + 1k = -2.5 + 3k + -3k Combine like terms: 3k + -3k = 0 0.5 + 1k = -2.5 + 0 0.5 + 1k = -2.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1k = -2.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1k = -2.5 + -0.5 1k = -2.5 + -0.5 Combine like terms: -2.5 + -0.5 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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