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Simplifying k + 3 = -2k + 15 Reorder the terms: 3 + k = -2k + 15 Reorder the terms: 3 + k = 15 + -2k Solving 3 + k = 15 + -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. 3 + k + 2k = 15 + -2k + 2k Combine like terms: k + 2k = 3k 3 + 3k = 15 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + 3k = 15 + 0 3 + 3k = 15 Add '-3' to each side of the equation. 3 + -3 + 3k = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3k = 15 + -3 3k = 15 + -3 Combine like terms: 15 + -3 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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