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Simplifying 6k + -1(5 + k) = -1(8k + 5) 6k + (5 * -1 + k * -1) = -1(8k + 5) 6k + (-5 + -1k) = -1(8k + 5) Reorder the terms: -5 + 6k + -1k = -1(8k + 5) Combine like terms: 6k + -1k = 5k -5 + 5k = -1(8k + 5) Reorder the terms: -5 + 5k = -1(5 + 8k) -5 + 5k = (5 * -1 + 8k * -1) -5 + 5k = (-5 + -8k) Add '5' to each side of the equation. -5 + 5 + 5k = -5 + 5 + -8k Combine like terms: -5 + 5 = 0 0 + 5k = -5 + 5 + -8k 5k = -5 + 5 + -8k Combine like terms: -5 + 5 = 0 5k = 0 + -8k 5k = -8k Solving 5k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 5k + 8k = -8k + 8k Combine like terms: 5k + 8k = 13k 13k = -8k + 8k Combine like terms: -8k + 8k = 0 13k = 0 Divide each side by '13'. k = 0 Simplifying k = 0
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