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Simplifying 3k + 5 = 5k + -1 Reorder the terms: 5 + 3k = 5k + -1 Reorder the terms: 5 + 3k = -1 + 5k Solving 5 + 3k = -1 + 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. 5 + 3k + -5k = -1 + 5k + -5k Combine like terms: 3k + -5k = -2k 5 + -2k = -1 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -2k = -1 + 0 5 + -2k = -1 Add '-5' to each side of the equation. 5 + -5 + -2k = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = -1 + -5 -2k = -1 + -5 Combine like terms: -1 + -5 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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