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Simplifying 4(k + 10) + k = 0 Reorder the terms: 4(10 + k) + k = 0 (10 * 4 + k * 4) + k = 0 (40 + 4k) + k = 0 Combine like terms: 4k + k = 5k 40 + 5k = 0 Solving 40 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5k = 0 + -40 5k = 0 + -40 Combine like terms: 0 + -40 = -40 5k = -40 Divide each side by '5'. k = -8 Simplifying k = -8
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