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Simplifying 2(3k2 + 4) + 5(2k2 + -1) = 0 Reorder the terms: 2(4 + 3k2) + 5(2k2 + -1) = 0 (4 * 2 + 3k2 * 2) + 5(2k2 + -1) = 0 (8 + 6k2) + 5(2k2 + -1) = 0 Reorder the terms: 8 + 6k2 + 5(-1 + 2k2) = 0 8 + 6k2 + (-1 * 5 + 2k2 * 5) = 0 8 + 6k2 + (-5 + 10k2) = 0 Reorder the terms: 8 + -5 + 6k2 + 10k2 = 0 Combine like terms: 8 + -5 = 3 3 + 6k2 + 10k2 = 0 Combine like terms: 6k2 + 10k2 = 16k2 3 + 16k2 = 0 Solving 3 + 16k2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 16k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 16k2 = 0 + -3 16k2 = 0 + -3 Combine like terms: 0 + -3 = -3 16k2 = -3 Divide each side by '16'. k2 = -0.1875 Simplifying k2 = -0.1875 Reorder the terms: 0.1875 + k2 = -0.1875 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.1875 + k2 = 0.0000 The solution to this equation could not be determined.
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