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Simplifying -3(k + -7) + -1(-2k + -2) = -2k Reorder the terms: -3(-7 + k) + -1(-2k + -2) = -2k (-7 * -3 + k * -3) + -1(-2k + -2) = -2k (21 + -3k) + -1(-2k + -2) = -2k Reorder the terms: 21 + -3k + -1(-2 + -2k) = -2k 21 + -3k + (-2 * -1 + -2k * -1) = -2k 21 + -3k + (2 + 2k) = -2k Reorder the terms: 21 + 2 + -3k + 2k = -2k Combine like terms: 21 + 2 = 23 23 + -3k + 2k = -2k Combine like terms: -3k + 2k = -1k 23 + -1k = -2k Solving 23 + -1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 23 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k 23 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 23 + 1k = 0 Add '-23' to each side of the equation. 23 + -23 + 1k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1k = 0 + -23 1k = 0 + -23 Combine like terms: 0 + -23 = -23 1k = -23 Divide each side by '1'. k = -23 Simplifying k = -23
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