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Simplifying 15 + k + 5 + 3 = 3k + 7 Reorder the terms: 15 + 5 + 3 + k = 3k + 7 Combine like terms: 15 + 5 = 20 20 + 3 + k = 3k + 7 Combine like terms: 20 + 3 = 23 23 + k = 3k + 7 Reorder the terms: 23 + k = 7 + 3k Solving 23 + k = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 23 + k + -3k = 7 + 3k + -3k Combine like terms: k + -3k = -2k 23 + -2k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 23 + -2k = 7 + 0 23 + -2k = 7 Add '-23' to each side of the equation. 23 + -23 + -2k = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -2k = 7 + -23 -2k = 7 + -23 Combine like terms: 7 + -23 = -16 -2k = -16 Divide each side by '-2'. k = 8 Simplifying k = 8
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