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Simplifying 9(k + 8) + -1(8k + 2) = 4 Reorder the terms: 9(8 + k) + -1(8k + 2) = 4 (8 * 9 + k * 9) + -1(8k + 2) = 4 (72 + 9k) + -1(8k + 2) = 4 Reorder the terms: 72 + 9k + -1(2 + 8k) = 4 72 + 9k + (2 * -1 + 8k * -1) = 4 72 + 9k + (-2 + -8k) = 4 Reorder the terms: 72 + -2 + 9k + -8k = 4 Combine like terms: 72 + -2 = 70 70 + 9k + -8k = 4 Combine like terms: 9k + -8k = 1k 70 + 1k = 4 Solving 70 + 1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 1k = 4 + -70 Combine like terms: 70 + -70 = 0 0 + 1k = 4 + -70 1k = 4 + -70 Combine like terms: 4 + -70 = -66 1k = -66 Divide each side by '1'. k = -66 Simplifying k = -66
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