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Simplifying 5[k + 6] = 3k Reorder the terms: 5[6 + k] = 3k [6 * 5 + k * 5] = 3k [30 + 5k] = 3k Solving 30 + 5k = 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. 30 + 5k + -3k = 3k + -3k Combine like terms: 5k + -3k = 2k 30 + 2k = 3k + -3k Combine like terms: 3k + -3k = 0 30 + 2k = 0 Add '-30' to each side of the equation. 30 + -30 + 2k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2k = 0 + -30 2k = 0 + -30 Combine like terms: 0 + -30 = -30 2k = -30 Divide each side by '2'. k = -15 Simplifying k = -15
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