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Simplifying -3(k + -9) + -1(-5k + 4) = -7 Reorder the terms: -3(-9 + k) + -1(-5k + 4) = -7 (-9 * -3 + k * -3) + -1(-5k + 4) = -7 (27 + -3k) + -1(-5k + 4) = -7 Reorder the terms: 27 + -3k + -1(4 + -5k) = -7 27 + -3k + (4 * -1 + -5k * -1) = -7 27 + -3k + (-4 + 5k) = -7 Reorder the terms: 27 + -4 + -3k + 5k = -7 Combine like terms: 27 + -4 = 23 23 + -3k + 5k = -7 Combine like terms: -3k + 5k = 2k 23 + 2k = -7 Solving 23 + 2k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2k = -7 + -23 Combine like terms: 23 + -23 = 0 0 + 2k = -7 + -23 2k = -7 + -23 Combine like terms: -7 + -23 = -30 2k = -30 Divide each side by '2'. k = -15 Simplifying k = -15
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