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Simplifying 3(1 + -3k) = 2(-4k + 7) (1 * 3 + -3k * 3) = 2(-4k + 7) (3 + -9k) = 2(-4k + 7) Reorder the terms: 3 + -9k = 2(7 + -4k) 3 + -9k = (7 * 2 + -4k * 2) 3 + -9k = (14 + -8k) Solving 3 + -9k = 14 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 3 + -9k + 8k = 14 + -8k + 8k Combine like terms: -9k + 8k = -1k 3 + -1k = 14 + -8k + 8k Combine like terms: -8k + 8k = 0 3 + -1k = 14 + 0 3 + -1k = 14 Add '-3' to each side of the equation. 3 + -3 + -1k = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 14 + -3 -1k = 14 + -3 Combine like terms: 14 + -3 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11
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