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Simplifying 4k + -1(k + -2) = 40 Reorder the terms: 4k + -1(-2 + k) = 40 4k + (-2 * -1 + k * -1) = 40 4k + (2 + -1k) = 40 Reorder the terms: 2 + 4k + -1k = 40 Combine like terms: 4k + -1k = 3k 2 + 3k = 40 Solving 2 + 3k = 40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 40 + -2 3k = 40 + -2 Combine like terms: 40 + -2 = 38 3k = 38 Divide each side by '3'. k = 12.66666667 Simplifying k = 12.66666667
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