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Simplifying 3k + 1 = 5k + -15 Reorder the terms: 1 + 3k = 5k + -15 Reorder the terms: 1 + 3k = -15 + 5k Solving 1 + 3k = -15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1 + 3k + -5k = -15 + 5k + -5k Combine like terms: 3k + -5k = -2k 1 + -2k = -15 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -2k = -15 + 0 1 + -2k = -15 Add '-1' to each side of the equation. 1 + -1 + -2k = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = -15 + -1 -2k = -15 + -1 Combine like terms: -15 + -1 = -16 -2k = -16 Divide each side by '-2'. k = 8 Simplifying k = 8
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