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Simplifying 2k + 5 + -1(k + 3) = 0 Reorder the terms: 2k + 5 + -1(3 + k) = 0 2k + 5 + (3 * -1 + k * -1) = 0 2k + 5 + (-3 + -1k) = 0 Reorder the terms: 5 + -3 + 2k + -1k = 0 Combine like terms: 5 + -3 = 2 2 + 2k + -1k = 0 Combine like terms: 2k + -1k = 1k 2 + 1k = 0 Solving 2 + 1k = 0 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 + 1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 0 + -2 1k = 0 + -2 Combine like terms: 0 + -2 = -2 1k = -2 Divide each side by '1'. k = -2 Simplifying k = -2
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