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Simplifying -4k + 18 = 3(1 + -3k) Reorder the terms: 18 + -4k = 3(1 + -3k) 18 + -4k = (1 * 3 + -3k * 3) 18 + -4k = (3 + -9k) Solving 18 + -4k = 3 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 18 + -4k + 9k = 3 + -9k + 9k Combine like terms: -4k + 9k = 5k 18 + 5k = 3 + -9k + 9k Combine like terms: -9k + 9k = 0 18 + 5k = 3 + 0 18 + 5k = 3 Add '-18' to each side of the equation. 18 + -18 + 5k = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 5k = 3 + -18 5k = 3 + -18 Combine like terms: 3 + -18 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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