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Simplifying 5 + -0.667(2k + -1) = 7 Reorder the terms: 5 + -0.667(-1 + 2k) = 7 5 + (-1 * -0.667 + 2k * -0.667) = 7 5 + (0.667 + -1.334k) = 7 Combine like terms: 5 + 0.667 = 5.667 5.667 + -1.334k = 7 Solving 5.667 + -1.334k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.667' to each side of the equation. 5.667 + -5.667 + -1.334k = 7 + -5.667 Combine like terms: 5.667 + -5.667 = 0.000 0.000 + -1.334k = 7 + -5.667 -1.334k = 7 + -5.667 Combine like terms: 7 + -5.667 = 1.333 -1.334k = 1.333 Divide each side by '-1.334'. k = -0.9992503748 Simplifying k = -0.9992503748
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