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Simplifying -10 = 100(k + -9) Reorder the terms: -10 = 100(-9 + k) -10 = (-9 * 100 + k * 100) -10 = (-900 + 100k) Solving -10 = -900 + 100k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100k' to each side of the equation. -10 + -100k = -900 + 100k + -100k Combine like terms: 100k + -100k = 0 -10 + -100k = -900 + 0 -10 + -100k = -900 Add '10' to each side of the equation. -10 + 10 + -100k = -900 + 10 Combine like terms: -10 + 10 = 0 0 + -100k = -900 + 10 -100k = -900 + 10 Combine like terms: -900 + 10 = -890 -100k = -890 Divide each side by '-100'. k = 8.9 Simplifying k = 8.9
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