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Simplifying -9(1 + k) = 45 (1 * -9 + k * -9) = 45 (-9 + -9k) = 45 Solving -9 + -9k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -9k = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -9k = 45 + 9 -9k = 45 + 9 Combine like terms: 45 + 9 = 54 -9k = 54 Divide each side by '-9'. k = -6 Simplifying k = -6
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