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Simplifying (k + -9) * 10 = -10 Reorder the terms: (-9 + k) * 10 = -10 Reorder the terms for easier multiplication: 10(-9 + k) = -10 (-9 * 10 + k * 10) = -10 (-90 + 10k) = -10 Solving -90 + 10k = -10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 10k = -10 + 90 Combine like terms: -90 + 90 = 0 0 + 10k = -10 + 90 10k = -10 + 90 Combine like terms: -10 + 90 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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