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Simplifying 1 = -0.5(3k + -4) Reorder the terms: 1 = -0.5(-4 + 3k) 1 = (-4 * -0.5 + 3k * -0.5) 1 = (2 + -1.5k) Solving 1 = 2 + -1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5k' to each side of the equation. 1 + 1.5k = 2 + -1.5k + 1.5k Combine like terms: -1.5k + 1.5k = 0.0 1 + 1.5k = 2 + 0.0 1 + 1.5k = 2 Add '-1' to each side of the equation. 1 + -1 + 1.5k = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5k = 2 + -1 1.5k = 2 + -1 Combine like terms: 2 + -1 = 1 1.5k = 1 Divide each side by '1.5'. k = 0.6666666667 Simplifying k = 0.6666666667
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