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Simplifying 10(k + -12) = 9(k + 5) Reorder the terms: 10(-12 + k) = 9(k + 5) (-12 * 10 + k * 10) = 9(k + 5) (-120 + 10k) = 9(k + 5) Reorder the terms: -120 + 10k = 9(5 + k) -120 + 10k = (5 * 9 + k * 9) -120 + 10k = (45 + 9k) Solving -120 + 10k = 45 + 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. -120 + 10k + -9k = 45 + 9k + -9k Combine like terms: 10k + -9k = 1k -120 + 1k = 45 + 9k + -9k Combine like terms: 9k + -9k = 0 -120 + 1k = 45 + 0 -120 + 1k = 45 Add '120' to each side of the equation. -120 + 120 + 1k = 45 + 120 Combine like terms: -120 + 120 = 0 0 + 1k = 45 + 120 1k = 45 + 120 Combine like terms: 45 + 120 = 165 1k = 165 Divide each side by '1'. k = 165 Simplifying k = 165
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