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Simplifying 9(k + -10) = 5(1 + -2k) Reorder the terms: 9(-10 + k) = 5(1 + -2k) (-10 * 9 + k * 9) = 5(1 + -2k) (-90 + 9k) = 5(1 + -2k) -90 + 9k = (1 * 5 + -2k * 5) -90 + 9k = (5 + -10k) Solving -90 + 9k = 5 + -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. -90 + 9k + 10k = 5 + -10k + 10k Combine like terms: 9k + 10k = 19k -90 + 19k = 5 + -10k + 10k Combine like terms: -10k + 10k = 0 -90 + 19k = 5 + 0 -90 + 19k = 5 Add '90' to each side of the equation. -90 + 90 + 19k = 5 + 90 Combine like terms: -90 + 90 = 0 0 + 19k = 5 + 90 19k = 5 + 90 Combine like terms: 5 + 90 = 95 19k = 95 Divide each side by '19'. k = 5 Simplifying k = 5
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