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Simplifying 2(2k + 3) + -10k + 5 + 2 = 0 Reorder the terms: 2(3 + 2k) + -10k + 5 + 2 = 0 (3 * 2 + 2k * 2) + -10k + 5 + 2 = 0 (6 + 4k) + -10k + 5 + 2 = 0 Reorder the terms: 6 + 5 + 2 + 4k + -10k = 0 Combine like terms: 6 + 5 = 11 11 + 2 + 4k + -10k = 0 Combine like terms: 11 + 2 = 13 13 + 4k + -10k = 0 Combine like terms: 4k + -10k = -6k 13 + -6k = 0 Solving 13 + -6k = 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 + -6k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6k = 0 + -13 -6k = 0 + -13 Combine like terms: 0 + -13 = -13 -6k = -13 Divide each side by '-6'. k = 2.166666667 Simplifying k = 2.166666667
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