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Simplifying 5(6k + -1) = 17 + 8k Reorder the terms: 5(-1 + 6k) = 17 + 8k (-1 * 5 + 6k * 5) = 17 + 8k (-5 + 30k) = 17 + 8k Solving -5 + 30k = 17 + 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. -5 + 30k + -8k = 17 + 8k + -8k Combine like terms: 30k + -8k = 22k -5 + 22k = 17 + 8k + -8k Combine like terms: 8k + -8k = 0 -5 + 22k = 17 + 0 -5 + 22k = 17 Add '5' to each side of the equation. -5 + 5 + 22k = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 22k = 17 + 5 22k = 17 + 5 Combine like terms: 17 + 5 = 22 22k = 22 Divide each side by '22'. k = 1 Simplifying k = 1
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