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Simplifying -10 = 10(1k + -9) Reorder the terms: -10 = 10(-9 + 1k) -10 = (-9 * 10 + 1k * 10) -10 = (-90 + 10k) Solving -10 = -90 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -10 + -10k = -90 + 10k + -10k Combine like terms: 10k + -10k = 0 -10 + -10k = -90 + 0 -10 + -10k = -90 Add '10' to each side of the equation. -10 + 10 + -10k = -90 + 10 Combine like terms: -10 + 10 = 0 0 + -10k = -90 + 10 -10k = -90 + 10 Combine like terms: -90 + 10 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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