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Simplifying 9(5k + -9) = k + 4 Reorder the terms: 9(-9 + 5k) = k + 4 (-9 * 9 + 5k * 9) = k + 4 (-81 + 45k) = k + 4 Reorder the terms: -81 + 45k = 4 + k Solving -81 + 45k = 4 + 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. -81 + 45k + -1k = 4 + k + -1k Combine like terms: 45k + -1k = 44k -81 + 44k = 4 + k + -1k Combine like terms: k + -1k = 0 -81 + 44k = 4 + 0 -81 + 44k = 4 Add '81' to each side of the equation. -81 + 81 + 44k = 4 + 81 Combine like terms: -81 + 81 = 0 0 + 44k = 4 + 81 44k = 4 + 81 Combine like terms: 4 + 81 = 85 44k = 85 Divide each side by '44'. k = 1.931818182 Simplifying k = 1.931818182
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