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Simplifying 5(5k + 2) + -2(4k + -3) = 0 Reorder the terms: 5(2 + 5k) + -2(4k + -3) = 0 (2 * 5 + 5k * 5) + -2(4k + -3) = 0 (10 + 25k) + -2(4k + -3) = 0 Reorder the terms: 10 + 25k + -2(-3 + 4k) = 0 10 + 25k + (-3 * -2 + 4k * -2) = 0 10 + 25k + (6 + -8k) = 0 Reorder the terms: 10 + 6 + 25k + -8k = 0 Combine like terms: 10 + 6 = 16 16 + 25k + -8k = 0 Combine like terms: 25k + -8k = 17k 16 + 17k = 0 Solving 16 + 17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 17k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 17k = 0 + -16 17k = 0 + -16 Combine like terms: 0 + -16 = -16 17k = -16 Divide each side by '17'. k = -0.9411764706 Simplifying k = -0.9411764706
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