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Simplifying 8(k + 8) + 5k = 1 Reorder the terms: 8(8 + k) + 5k = 1 (8 * 8 + k * 8) + 5k = 1 (64 + 8k) + 5k = 1 Combine like terms: 8k + 5k = 13k 64 + 13k = 1 Solving 64 + 13k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 13k = 1 + -64 Combine like terms: 64 + -64 = 0 0 + 13k = 1 + -64 13k = 1 + -64 Combine like terms: 1 + -64 = -63 13k = -63 Divide each side by '13'. k = -4.846153846 Simplifying k = -4.846153846
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