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Simplifying -9(9 + k) + -5 + 4k = 4 (9 * -9 + k * -9) + -5 + 4k = 4 (-81 + -9k) + -5 + 4k = 4 Reorder the terms: -81 + -5 + -9k + 4k = 4 Combine like terms: -81 + -5 = -86 -86 + -9k + 4k = 4 Combine like terms: -9k + 4k = -5k -86 + -5k = 4 Solving -86 + -5k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + -5k = 4 + 86 Combine like terms: -86 + 86 = 0 0 + -5k = 4 + 86 -5k = 4 + 86 Combine like terms: 4 + 86 = 90 -5k = 90 Divide each side by '-5'. k = -18 Simplifying k = -18
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