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Simplifying 8k + -5 = 5k + 1 Reorder the terms: -5 + 8k = 5k + 1 Reorder the terms: -5 + 8k = 1 + 5k Solving -5 + 8k = 1 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -5 + 8k + -5k = 1 + 5k + -5k Combine like terms: 8k + -5k = 3k -5 + 3k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 -5 + 3k = 1 + 0 -5 + 3k = 1 Add '5' to each side of the equation. -5 + 5 + 3k = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 1 + 5 3k = 1 + 5 Combine like terms: 1 + 5 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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