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Simplifying 5(-2k + 4) + 4k = 2(1 + -4k) Reorder the terms: 5(4 + -2k) + 4k = 2(1 + -4k) (4 * 5 + -2k * 5) + 4k = 2(1 + -4k) (20 + -10k) + 4k = 2(1 + -4k) Combine like terms: -10k + 4k = -6k 20 + -6k = 2(1 + -4k) 20 + -6k = (1 * 2 + -4k * 2) 20 + -6k = (2 + -8k) Solving 20 + -6k = 2 + -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. 20 + -6k + 8k = 2 + -8k + 8k Combine like terms: -6k + 8k = 2k 20 + 2k = 2 + -8k + 8k Combine like terms: -8k + 8k = 0 20 + 2k = 2 + 0 20 + 2k = 2 Add '-20' to each side of the equation. 20 + -20 + 2k = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 2k = 2 + -20 2k = 2 + -20 Combine like terms: 2 + -20 = -18 2k = -18 Divide each side by '2'. k = -9 Simplifying k = -9
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