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Simplifying -171 = 9(-9 + k) -171 = (-9 * 9 + k * 9) -171 = (-81 + 9k) Solving -171 = -81 + 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. -171 + -9k = -81 + 9k + -9k Combine like terms: 9k + -9k = 0 -171 + -9k = -81 + 0 -171 + -9k = -81 Add '171' to each side of the equation. -171 + 171 + -9k = -81 + 171 Combine like terms: -171 + 171 = 0 0 + -9k = -81 + 171 -9k = -81 + 171 Combine like terms: -81 + 171 = 90 -9k = 90 Divide each side by '-9'. k = -10 Simplifying k = -10
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