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Simplifying -4 + 5k + -6 + (-9k) + 3 = 0 Reorder the terms: -4 + -6 + 3 + 5k + (-9k) = 0 Combine like terms: -4 + -6 = -10 -10 + 3 + 5k + (-9k) = 0 Combine like terms: -10 + 3 = -7 -7 + 5k + (-9k) = 0 Combine like terms: 5k + (-9k) = -4k -7 + -4k = 0 Solving -7 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4k = 0 + 7 -4k = 0 + 7 Combine like terms: 0 + 7 = 7 -4k = 7 Divide each side by '-4'. k = -1.75 Simplifying k = -1.75
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