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Simplifying 9(1 + -1k) + 1 = -1(8k + 6) (1 * 9 + -1k * 9) + 1 = -1(8k + 6) (9 + -9k) + 1 = -1(8k + 6) Reorder the terms: 9 + 1 + -9k = -1(8k + 6) Combine like terms: 9 + 1 = 10 10 + -9k = -1(8k + 6) Reorder the terms: 10 + -9k = -1(6 + 8k) 10 + -9k = (6 * -1 + 8k * -1) 10 + -9k = (-6 + -8k) Solving 10 + -9k = -6 + -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. 10 + -9k + 8k = -6 + -8k + 8k Combine like terms: -9k + 8k = -1k 10 + -1k = -6 + -8k + 8k Combine like terms: -8k + 8k = 0 10 + -1k = -6 + 0 10 + -1k = -6 Add '-10' to each side of the equation. 10 + -10 + -1k = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = -6 + -10 -1k = -6 + -10 Combine like terms: -6 + -10 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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