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Simplifying 9(-2k + 2) + 10k = -10k Reorder the terms: 9(2 + -2k) + 10k = -10k (2 * 9 + -2k * 9) + 10k = -10k (18 + -18k) + 10k = -10k Combine like terms: -18k + 10k = -8k 18 + -8k = -10k Solving 18 + -8k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 18 + -8k + 10k = -10k + 10k Combine like terms: -8k + 10k = 2k 18 + 2k = -10k + 10k Combine like terms: -10k + 10k = 0 18 + 2k = 0 Add '-18' to each side of the equation. 18 + -18 + 2k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 0 + -18 2k = 0 + -18 Combine like terms: 0 + -18 = -18 2k = -18 Divide each side by '2'. k = -9 Simplifying k = -9
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