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Simplifying 3(0.5 + -1.5k) + 1k = 4 (0.5 * 3 + -1.5k * 3) + 1k = 4 (1.5 + -4.5k) + 1k = 4 Combine like terms: -4.5k + 1k = -3.5k 1.5 + -3.5k = 4 Solving 1.5 + -3.5k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3.5k = 4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3.5k = 4 + -1.5 -3.5k = 4 + -1.5 Combine like terms: 4 + -1.5 = 2.5 -3.5k = 2.5 Divide each side by '-3.5'. k = -0.7142857143 Simplifying k = -0.7142857143
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