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Simplifying 2(5k + 3) + -13k + 4 + 3 = 0 Reorder the terms: 2(3 + 5k) + -13k + 4 + 3 = 0 (3 * 2 + 5k * 2) + -13k + 4 + 3 = 0 (6 + 10k) + -13k + 4 + 3 = 0 Reorder the terms: 6 + 4 + 3 + 10k + -13k = 0 Combine like terms: 6 + 4 = 10 10 + 3 + 10k + -13k = 0 Combine like terms: 10 + 3 = 13 13 + 10k + -13k = 0 Combine like terms: 10k + -13k = -3k 13 + -3k = 0 Solving 13 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = 0 + -13 -3k = 0 + -13 Combine like terms: 0 + -13 = -13 -3k = -13 Divide each side by '-3'. k = 4.333333333 Simplifying k = 4.333333333
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