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Simplifying k + 7 + -1(2k + 5) = 0 Reorder the terms: k + 7 + -1(5 + 2k) = 0 k + 7 + (5 * -1 + 2k * -1) = 0 k + 7 + (-5 + -2k) = 0 Reorder the terms: 7 + -5 + k + -2k = 0 Combine like terms: 7 + -5 = 2 2 + k + -2k = 0 Combine like terms: k + -2k = -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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