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Simplifying -12 + 9(1 + -10k) = -813 -12 + (1 * 9 + -10k * 9) = -813 -12 + (9 + -90k) = -813 Combine like terms: -12 + 9 = -3 -3 + -90k = -813 Solving -3 + -90k = -813 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -90k = -813 + 3 Combine like terms: -3 + 3 = 0 0 + -90k = -813 + 3 -90k = -813 + 3 Combine like terms: -813 + 3 = -810 -90k = -810 Divide each side by '-90'. k = 9 Simplifying k = 9
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