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Simplifying 1.4(0.7k + 2) = 2.1 Reorder the terms: 1.4(2 + 0.7k) = 2.1 (2 * 1.4 + 0.7k * 1.4) = 2.1 (2.8 + 0.98k) = 2.1 Solving 2.8 + 0.98k = 2.1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.98k = 2.1 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.98k = 2.1 + -2.8 0.98k = 2.1 + -2.8 Combine like terms: 2.1 + -2.8 = -0.7 0.98k = -0.7 Divide each side by '0.98'. k = -0.7142857143 Simplifying k = -0.7142857143
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