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Simplifying 9(2k + 7) = 10k + -9 Reorder the terms: 9(7 + 2k) = 10k + -9 (7 * 9 + 2k * 9) = 10k + -9 (63 + 18k) = 10k + -9 Reorder the terms: 63 + 18k = -9 + 10k Solving 63 + 18k = -9 + 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. 63 + 18k + -10k = -9 + 10k + -10k Combine like terms: 18k + -10k = 8k 63 + 8k = -9 + 10k + -10k Combine like terms: 10k + -10k = 0 63 + 8k = -9 + 0 63 + 8k = -9 Add '-63' to each side of the equation. 63 + -63 + 8k = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 8k = -9 + -63 8k = -9 + -63 Combine like terms: -9 + -63 = -72 8k = -72 Divide each side by '8'. k = -9 Simplifying k = -9
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