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Simplifying 3k = 5(k + 3) + -3 Reorder the terms: 3k = 5(3 + k) + -3 3k = (3 * 5 + k * 5) + -3 3k = (15 + 5k) + -3 Reorder the terms: 3k = 15 + -3 + 5k Combine like terms: 15 + -3 = 12 3k = 12 + 5k Solving 3k = 12 + 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. 3k + -5k = 12 + 5k + -5k Combine like terms: 3k + -5k = -2k -2k = 12 + 5k + -5k Combine like terms: 5k + -5k = 0 -2k = 12 + 0 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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