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Simplifying 102 = 6(5 + 3k) 102 = (5 * 6 + 3k * 6) 102 = (30 + 18k) Solving 102 = 30 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 102 + -18k = 30 + 18k + -18k Combine like terms: 18k + -18k = 0 102 + -18k = 30 + 0 102 + -18k = 30 Add '-102' to each side of the equation. 102 + -102 + -18k = 30 + -102 Combine like terms: 102 + -102 = 0 0 + -18k = 30 + -102 -18k = 30 + -102 Combine like terms: 30 + -102 = -72 -18k = -72 Divide each side by '-18'. k = 4 Simplifying k = 4
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