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Simplifying 0.2(6 + -7k) = 2k + -4 (6 * 0.2 + -7k * 0.2) = 2k + -4 (1.2 + -1.4k) = 2k + -4 Reorder the terms: 1.2 + -1.4k = -4 + 2k Solving 1.2 + -1.4k = -4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1.2 + -1.4k + -2k = -4 + 2k + -2k Combine like terms: -1.4k + -2k = -3.4k 1.2 + -3.4k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 1.2 + -3.4k = -4 + 0 1.2 + -3.4k = -4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -3.4k = -4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -3.4k = -4 + -1.2 -3.4k = -4 + -1.2 Combine like terms: -4 + -1.2 = -5.2 -3.4k = -5.2 Divide each side by '-3.4'. k = 1.529411765 Simplifying k = 1.529411765
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