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Simplifying -5k(2 + 7) = -35 + k + (-10k) Combine like terms: 2 + 7 = 9 -5k(9) = -35 + k + (-10k) Reorder the terms for easier multiplication: -5 * 9k = -35 + k + (-10k) Multiply -5 * 9 -45k = -35 + k + (-10k) Combine like terms: k + (-10k) = -9k -45k = -35 + -9k Solving -45k = -35 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -45k + 9k = -35 + -9k + 9k Combine like terms: -45k + 9k = -36k -36k = -35 + -9k + 9k Combine like terms: -9k + 9k = 0 -36k = -35 + 0 -36k = -35 Divide each side by '-36'. k = 0.9722222222 Simplifying k = 0.9722222222
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