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Simplifying 8(k + 6) = 3(k + 34) Reorder the terms: 8(6 + k) = 3(k + 34) (6 * 8 + k * 8) = 3(k + 34) (48 + 8k) = 3(k + 34) Reorder the terms: 48 + 8k = 3(34 + k) 48 + 8k = (34 * 3 + k * 3) 48 + 8k = (102 + 3k) Solving 48 + 8k = 102 + 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. 48 + 8k + -3k = 102 + 3k + -3k Combine like terms: 8k + -3k = 5k 48 + 5k = 102 + 3k + -3k Combine like terms: 3k + -3k = 0 48 + 5k = 102 + 0 48 + 5k = 102 Add '-48' to each side of the equation. 48 + -48 + 5k = 102 + -48 Combine like terms: 48 + -48 = 0 0 + 5k = 102 + -48 5k = 102 + -48 Combine like terms: 102 + -48 = 54 5k = 54 Divide each side by '5'. k = 10.8 Simplifying k = 10.8
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