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Simplifying -1(2 + k) + -1(3k + -5) = 0 (2 * -1 + k * -1) + -1(3k + -5) = 0 (-2 + -1k) + -1(3k + -5) = 0 Reorder the terms: -2 + -1k + -1(-5 + 3k) = 0 -2 + -1k + (-5 * -1 + 3k * -1) = 0 -2 + -1k + (5 + -3k) = 0 Reorder the terms: -2 + 5 + -1k + -3k = 0 Combine like terms: -2 + 5 = 3 3 + -1k + -3k = 0 Combine like terms: -1k + -3k = -4k 3 + -4k = 0 Solving 3 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = 0 + -3 -4k = 0 + -3 Combine like terms: 0 + -3 = -3 -4k = -3 Divide each side by '-4'. k = 0.75 Simplifying k = 0.75
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