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Simplifying 4k + 5k + 7 = 0 Reorder the terms: 7 + 4k + 5k = 0 Combine like terms: 4k + 5k = 9k 7 + 9k = 0 Solving 7 + 9k = 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 + 9k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9k = 0 + -7 9k = 0 + -7 Combine like terms: 0 + -7 = -7 9k = -7 Divide each side by '9'. k = -0.7777777778 Simplifying k = -0.7777777778
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