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Simplifying 5k + 20 + -3k + 18 = 0 Reorder the terms: 20 + 18 + 5k + -3k = 0 Combine like terms: 20 + 18 = 38 38 + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 38 + 2k = 0 Solving 38 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2k = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 2k = 0 + -38 2k = 0 + -38 Combine like terms: 0 + -38 = -38 2k = -38 Divide each side by '2'. k = -19 Simplifying k = -19
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