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Simplifying 3k + 8 = 5k + -28 Reorder the terms: 8 + 3k = 5k + -28 Reorder the terms: 8 + 3k = -28 + 5k Solving 8 + 3k = -28 + 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. 8 + 3k + -5k = -28 + 5k + -5k Combine like terms: 3k + -5k = -2k 8 + -2k = -28 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -2k = -28 + 0 8 + -2k = -28 Add '-8' to each side of the equation. 8 + -8 + -2k = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = -28 + -8 -2k = -28 + -8 Combine like terms: -28 + -8 = -36 -2k = -36 Divide each side by '-2'. k = 18 Simplifying k = 18
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