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Simplifying -2k + -1.333(-2 + -5k) = 6.667 + -2.333k -2k + (-2 * -1.333 + -5k * -1.333) = 6.667 + -2.333k -2k + (2.666 + 6.665k) = 6.667 + -2.333k Reorder the terms: 2.666 + -2k + 6.665k = 6.667 + -2.333k Combine like terms: -2k + 6.665k = 4.665k 2.666 + 4.665k = 6.667 + -2.333k Solving 2.666 + 4.665k = 6.667 + -2.333k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.333k' to each side of the equation. 2.666 + 4.665k + 2.333k = 6.667 + -2.333k + 2.333k Combine like terms: 4.665k + 2.333k = 6.998k 2.666 + 6.998k = 6.667 + -2.333k + 2.333k Combine like terms: -2.333k + 2.333k = 0.000 2.666 + 6.998k = 6.667 + 0.000 2.666 + 6.998k = 6.667 Add '-2.666' to each side of the equation. 2.666 + -2.666 + 6.998k = 6.667 + -2.666 Combine like terms: 2.666 + -2.666 = 0.000 0.000 + 6.998k = 6.667 + -2.666 6.998k = 6.667 + -2.666 Combine like terms: 6.667 + -2.666 = 4.001 6.998k = 4.001 Divide each side by '6.998'. k = 0.5717347814 Simplifying k = 0.5717347814
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