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Simplifying -6k + 3(1 + 3k) = 9 + 5k -6k + (1 * 3 + 3k * 3) = 9 + 5k -6k + (3 + 9k) = 9 + 5k Reorder the terms: 3 + -6k + 9k = 9 + 5k Combine like terms: -6k + 9k = 3k 3 + 3k = 9 + 5k Solving 3 + 3k = 9 + 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. 3 + 3k + -5k = 9 + 5k + -5k Combine like terms: 3k + -5k = -2k 3 + -2k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + -2k = 9 + 0 3 + -2k = 9 Add '-3' to each side of the equation. 3 + -3 + -2k = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 9 + -3 -2k = 9 + -3 Combine like terms: 9 + -3 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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