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Simplifying 8(k + 6) = 5(k + 33) Reorder the terms: 8(6 + k) = 5(k + 33) (6 * 8 + k * 8) = 5(k + 33) (48 + 8k) = 5(k + 33) Reorder the terms: 48 + 8k = 5(33 + k) 48 + 8k = (33 * 5 + k * 5) 48 + 8k = (165 + 5k) Solving 48 + 8k = 165 + 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. 48 + 8k + -5k = 165 + 5k + -5k Combine like terms: 8k + -5k = 3k 48 + 3k = 165 + 5k + -5k Combine like terms: 5k + -5k = 0 48 + 3k = 165 + 0 48 + 3k = 165 Add '-48' to each side of the equation. 48 + -48 + 3k = 165 + -48 Combine like terms: 48 + -48 = 0 0 + 3k = 165 + -48 3k = 165 + -48 Combine like terms: 165 + -48 = 117 3k = 117 Divide each side by '3'. k = 39 Simplifying k = 39
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