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Simplifying 10(9k + -1) = k + 9 Reorder the terms: 10(-1 + 9k) = k + 9 (-1 * 10 + 9k * 10) = k + 9 (-10 + 90k) = k + 9 Reorder the terms: -10 + 90k = 9 + k Solving -10 + 90k = 9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10 + 90k + -1k = 9 + k + -1k Combine like terms: 90k + -1k = 89k -10 + 89k = 9 + k + -1k Combine like terms: k + -1k = 0 -10 + 89k = 9 + 0 -10 + 89k = 9 Add '10' to each side of the equation. -10 + 10 + 89k = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 89k = 9 + 10 89k = 9 + 10 Combine like terms: 9 + 10 = 19 89k = 19 Divide each side by '89'. k = 0.2134831461 Simplifying k = 0.2134831461
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