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Simplifying (k + -1) * 9 + -3k + 1 = 0 Reorder the terms: (-1 + k) * 9 + -3k + 1 = 0 Reorder the terms for easier multiplication: 9(-1 + k) + -3k + 1 = 0 (-1 * 9 + k * 9) + -3k + 1 = 0 (-9 + 9k) + -3k + 1 = 0 Reorder the terms: -9 + 1 + 9k + -3k = 0 Combine like terms: -9 + 1 = -8 -8 + 9k + -3k = 0 Combine like terms: 9k + -3k = 6k -8 + 6k = 0 Solving -8 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6k = 0 + 8 6k = 0 + 8 Combine like terms: 0 + 8 = 8 6k = 8 Divide each side by '6'. k = 1.333333333 Simplifying k = 1.333333333
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