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Simplifying 3(8k + -1) + -1(-8 + 3k) = 8 Reorder the terms: 3(-1 + 8k) + -1(-8 + 3k) = 8 (-1 * 3 + 8k * 3) + -1(-8 + 3k) = 8 (-3 + 24k) + -1(-8 + 3k) = 8 -3 + 24k + (-8 * -1 + 3k * -1) = 8 -3 + 24k + (8 + -3k) = 8 Reorder the terms: -3 + 8 + 24k + -3k = 8 Combine like terms: -3 + 8 = 5 5 + 24k + -3k = 8 Combine like terms: 24k + -3k = 21k 5 + 21k = 8 Solving 5 + 21k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 21k = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 21k = 8 + -5 21k = 8 + -5 Combine like terms: 8 + -5 = 3 21k = 3 Divide each side by '21'. k = 0.1428571429 Simplifying k = 0.1428571429
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