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Simplifying 3(2k + 5) = 2k + 11 Reorder the terms: 3(5 + 2k) = 2k + 11 (5 * 3 + 2k * 3) = 2k + 11 (15 + 6k) = 2k + 11 Reorder the terms: 15 + 6k = 11 + 2k Solving 15 + 6k = 11 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 15 + 6k + -2k = 11 + 2k + -2k Combine like terms: 6k + -2k = 4k 15 + 4k = 11 + 2k + -2k Combine like terms: 2k + -2k = 0 15 + 4k = 11 + 0 15 + 4k = 11 Add '-15' to each side of the equation. 15 + -15 + 4k = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 4k = 11 + -15 4k = 11 + -15 Combine like terms: 11 + -15 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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