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Simplifying 2(5k + 6) + -4(k + -2) = 0 Reorder the terms: 2(6 + 5k) + -4(k + -2) = 0 (6 * 2 + 5k * 2) + -4(k + -2) = 0 (12 + 10k) + -4(k + -2) = 0 Reorder the terms: 12 + 10k + -4(-2 + k) = 0 12 + 10k + (-2 * -4 + k * -4) = 0 12 + 10k + (8 + -4k) = 0 Reorder the terms: 12 + 8 + 10k + -4k = 0 Combine like terms: 12 + 8 = 20 20 + 10k + -4k = 0 Combine like terms: 10k + -4k = 6k 20 + 6k = 0 Solving 20 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6k = 0 + -20 6k = 0 + -20 Combine like terms: 0 + -20 = -20 6k = -20 Divide each side by '6'. k = -3.333333333 Simplifying k = -3.333333333
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