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Simplifying 5k(2 + 7) = -35k + (-10k) Combine like terms: 2 + 7 = 9 5k(9) = -35k + (-10k) Reorder the terms for easier multiplication: 5 * 9k = -35k + (-10k) Multiply 5 * 9 45k = -35k + (-10k) Combine like terms: -35k + (-10k) = -45k 45k = -45k Solving 45k = -45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45k' to each side of the equation. 45k + 45k = -45k + 45k Combine like terms: 45k + 45k = 90k 90k = -45k + 45k Combine like terms: -45k + 45k = 0 90k = 0 Divide each side by '90'. k = 0.0 Simplifying k = 0.0
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