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