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Simplifying 0.5k + -0.75 = k + 2 Reorder the terms: -0.75 + 0.5k = k + 2 Reorder the terms: -0.75 + 0.5k = 2 + k Solving -0.75 + 0.5k = 2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -0.75 + 0.5k + -1k = 2 + k + -1k Combine like terms: 0.5k + -1k = -0.5k -0.75 + -0.5k = 2 + k + -1k Combine like terms: k + -1k = 0 -0.75 + -0.5k = 2 + 0 -0.75 + -0.5k = 2 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.5k = 2 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.5k = 2 + 0.75 -0.5k = 2 + 0.75 Combine like terms: 2 + 0.75 = 2.75 -0.5k = 2.75 Divide each side by '-0.5'. k = -5.5 Simplifying k = -5.5
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