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Simplifying 3(k + 4) + -5k + 8 + 3 = 0 Reorder the terms: 3(4 + k) + -5k + 8 + 3 = 0 (4 * 3 + k * 3) + -5k + 8 + 3 = 0 (12 + 3k) + -5k + 8 + 3 = 0 Reorder the terms: 12 + 8 + 3 + 3k + -5k = 0 Combine like terms: 12 + 8 = 20 20 + 3 + 3k + -5k = 0 Combine like terms: 20 + 3 = 23 23 + 3k + -5k = 0 Combine like terms: 3k + -5k = -2k 23 + -2k = 0 Solving 23 + -2k = 0 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 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2k = 0 + -23 -2k = 0 + -23 Combine like terms: 0 + -23 = -23 -2k = -23 Divide each side by '-2'. k = 11.5 Simplifying k = 11.5
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