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Simplifying 5(5k + 2) + -2(4k + 2) = 0 Reorder the terms: 5(2 + 5k) + -2(4k + 2) = 0 (2 * 5 + 5k * 5) + -2(4k + 2) = 0 (10 + 25k) + -2(4k + 2) = 0 Reorder the terms: 10 + 25k + -2(2 + 4k) = 0 10 + 25k + (2 * -2 + 4k * -2) = 0 10 + 25k + (-4 + -8k) = 0 Reorder the terms: 10 + -4 + 25k + -8k = 0 Combine like terms: 10 + -4 = 6 6 + 25k + -8k = 0 Combine like terms: 25k + -8k = 17k 6 + 17k = 0 Solving 6 + 17k = 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 + 17k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17k = 0 + -6 17k = 0 + -6 Combine like terms: 0 + -6 = -6 17k = -6 Divide each side by '17'. k = -0.3529411765 Simplifying k = -0.3529411765
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