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Simplifying -243 = -9(10 + k) -243 = (10 * -9 + k * -9) -243 = (-90 + -9k) Solving -243 = -90 + -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. -243 + 9k = -90 + -9k + 9k Combine like terms: -9k + 9k = 0 -243 + 9k = -90 + 0 -243 + 9k = -90 Add '243' to each side of the equation. -243 + 243 + 9k = -90 + 243 Combine like terms: -243 + 243 = 0 0 + 9k = -90 + 243 9k = -90 + 243 Combine like terms: -90 + 243 = 153 9k = 153 Divide each side by '9'. k = 17 Simplifying k = 17
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