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Simplifying 2(5k + 3) + -12k + 4 + 5 = 0 Reorder the terms: 2(3 + 5k) + -12k + 4 + 5 = 0 (3 * 2 + 5k * 2) + -12k + 4 + 5 = 0 (6 + 10k) + -12k + 4 + 5 = 0 Reorder the terms: 6 + 4 + 5 + 10k + -12k = 0 Combine like terms: 6 + 4 = 10 10 + 5 + 10k + -12k = 0 Combine like terms: 10 + 5 = 15 15 + 10k + -12k = 0 Combine like terms: 10k + -12k = -2k 15 + -2k = 0 Solving 15 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2k = 0 + -15 -2k = 0 + -15 Combine like terms: 0 + -15 = -15 -2k = -15 Divide each side by '-2'. k = 7.5 Simplifying k = 7.5
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