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Simplifying 6(3 + 5k) = -1(4 + -8k) (3 * 6 + 5k * 6) = -1(4 + -8k) (18 + 30k) = -1(4 + -8k) 18 + 30k = (4 * -1 + -8k * -1) 18 + 30k = (-4 + 8k) Solving 18 + 30k = -4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 18 + 30k + -8k = -4 + 8k + -8k Combine like terms: 30k + -8k = 22k 18 + 22k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 18 + 22k = -4 + 0 18 + 22k = -4 Add '-18' to each side of the equation. 18 + -18 + 22k = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 22k = -4 + -18 22k = -4 + -18 Combine like terms: -4 + -18 = -22 22k = -22 Divide each side by '22'. k = -1 Simplifying k = -1
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