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Simplifying 8k + -5 = 3(k + 6) Reorder the terms: -5 + 8k = 3(k + 6) Reorder the terms: -5 + 8k = 3(6 + k) -5 + 8k = (6 * 3 + k * 3) -5 + 8k = (18 + 3k) Solving -5 + 8k = 18 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -5 + 8k + -3k = 18 + 3k + -3k Combine like terms: 8k + -3k = 5k -5 + 5k = 18 + 3k + -3k Combine like terms: 3k + -3k = 0 -5 + 5k = 18 + 0 -5 + 5k = 18 Add '5' to each side of the equation. -5 + 5 + 5k = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 5k = 18 + 5 5k = 18 + 5 Combine like terms: 18 + 5 = 23 5k = 23 Divide each side by '5'. k = 4.6 Simplifying k = 4.6
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