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Simplifying -4 + -5k + -2 + 9k = 0 Reorder the terms: -4 + -2 + -5k + 9k = 0 Combine like terms: -4 + -2 = -6 -6 + -5k + 9k = 0 Combine like terms: -5k + 9k = 4k -6 + 4k = 0 Solving -6 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = 0 + 6 4k = 0 + 6 Combine like terms: 0 + 6 = 6 4k = 6 Divide each side by '4'. k = 1.5 Simplifying k = 1.5
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