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Simplifying 5(k + 3) + -3k + 7 = 0 Reorder the terms: 5(3 + k) + -3k + 7 = 0 (3 * 5 + k * 5) + -3k + 7 = 0 (15 + 5k) + -3k + 7 = 0 Reorder the terms: 15 + 7 + 5k + -3k = 0 Combine like terms: 15 + 7 = 22 22 + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 22 + 2k = 0 Solving 22 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2k = 0 + -22 2k = 0 + -22 Combine like terms: 0 + -22 = -22 2k = -22 Divide each side by '2'. k = -11 Simplifying k = -11
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