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Simplifying 5 + -0.6(2k + -1) = 7 Reorder the terms: 5 + -0.6(-1 + 2k) = 7 5 + (-1 * -0.6 + 2k * -0.6) = 7 5 + (0.6 + -1.2k) = 7 Combine like terms: 5 + 0.6 = 5.6 5.6 + -1.2k = 7 Solving 5.6 + -1.2k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + -1.2k = 7 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -1.2k = 7 + -5.6 -1.2k = 7 + -5.6 Combine like terms: 7 + -5.6 = 1.4 -1.2k = 1.4 Divide each side by '-1.2'. k = -1.166666667 Simplifying k = -1.166666667
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