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Simplifying 1 + 9k = 3(2k + -5) Reorder the terms: 1 + 9k = 3(-5 + 2k) 1 + 9k = (-5 * 3 + 2k * 3) 1 + 9k = (-15 + 6k) Solving 1 + 9k = -15 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 1 + 9k + -6k = -15 + 6k + -6k Combine like terms: 9k + -6k = 3k 1 + 3k = -15 + 6k + -6k Combine like terms: 6k + -6k = 0 1 + 3k = -15 + 0 1 + 3k = -15 Add '-1' to each side of the equation. 1 + -1 + 3k = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = -15 + -1 3k = -15 + -1 Combine like terms: -15 + -1 = -16 3k = -16 Divide each side by '3'. k = -5.333333333 Simplifying k = -5.333333333
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