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Simplifying 3(k + 6) = -5(1 + 4k) Reorder the terms: 3(6 + k) = -5(1 + 4k) (6 * 3 + k * 3) = -5(1 + 4k) (18 + 3k) = -5(1 + 4k) 18 + 3k = (1 * -5 + 4k * -5) 18 + 3k = (-5 + -20k) Solving 18 + 3k = -5 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 18 + 3k + 20k = -5 + -20k + 20k Combine like terms: 3k + 20k = 23k 18 + 23k = -5 + -20k + 20k Combine like terms: -20k + 20k = 0 18 + 23k = -5 + 0 18 + 23k = -5 Add '-18' to each side of the equation. 18 + -18 + 23k = -5 + -18 Combine like terms: 18 + -18 = 0 0 + 23k = -5 + -18 23k = -5 + -18 Combine like terms: -5 + -18 = -23 23k = -23 Divide each side by '23'. k = -1 Simplifying k = -1
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