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Simplifying 6k + -5 + 2(k + 10) = 24 Reorder the terms: 6k + -5 + 2(10 + k) = 24 6k + -5 + (10 * 2 + k * 2) = 24 6k + -5 + (20 + 2k) = 24 Reorder the terms: -5 + 20 + 6k + 2k = 24 Combine like terms: -5 + 20 = 15 15 + 6k + 2k = 24 Combine like terms: 6k + 2k = 8k 15 + 8k = 24 Solving 15 + 8k = 24 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 + 8k = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 8k = 24 + -15 8k = 24 + -15 Combine like terms: 24 + -15 = 9 8k = 9 Divide each side by '8'. k = 1.125 Simplifying k = 1.125
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