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Simplifying 2(k + 5) + -3 = k + 18 Reorder the terms: 2(5 + k) + -3 = k + 18 (5 * 2 + k * 2) + -3 = k + 18 (10 + 2k) + -3 = k + 18 Reorder the terms: 10 + -3 + 2k = k + 18 Combine like terms: 10 + -3 = 7 7 + 2k = k + 18 Reorder the terms: 7 + 2k = 18 + k Solving 7 + 2k = 18 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7 + 2k + -1k = 18 + k + -1k Combine like terms: 2k + -1k = 1k 7 + 1k = 18 + k + -1k Combine like terms: k + -1k = 0 7 + 1k = 18 + 0 7 + 1k = 18 Add '-7' to each side of the equation. 7 + -7 + 1k = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 18 + -7 1k = 18 + -7 Combine like terms: 18 + -7 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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