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Simplifying 2k + 5 = 0.5(1.5) Reorder the terms: 5 + 2k = 0.5(1.5) Multiply 0.5 * 1.5 5 + 2k = 0.75 Solving 5 + 2k = 0.75 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 + 2k = 0.75 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 0.75 + -5 2k = 0.75 + -5 Combine like terms: 0.75 + -5 = -4.25 2k = -4.25 Divide each side by '2'. k = -2.125 Simplifying k = -2.125
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