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Simplifying 3x2 + -1(2K + -3) + -2k = 0 Reorder the terms: 3x2 + -1(-3 + 2K) + -2k = 0 3x2 + (-3 * -1 + 2K * -1) + -2k = 0 3x2 + (3 + -2K) + -2k = 0 Reorder the terms: 3 + -2K + -2k + 3x2 = 0 Solving 3 + -2K + -2k + 3x2 = 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 + -2K + -2k + -3 + 3x2 = 0 + -3 Reorder the terms: 3 + -3 + -2K + -2k + 3x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2K + -2k + 3x2 = 0 + -3 -2K + -2k + 3x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2K + -2k + 3x2 = -3 Add '2k' to each side of the equation. -2K + -2k + 2k + 3x2 = -3 + 2k Combine like terms: -2k + 2k = 0 -2K + 0 + 3x2 = -3 + 2k -2K + 3x2 = -3 + 2k Add '-3x2' to each side of the equation. -2K + 3x2 + -3x2 = -3 + 2k + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2K + 0 = -3 + 2k + -3x2 -2K = -3 + 2k + -3x2 Divide each side by '-2'. K = 1.5 + -1k + 1.5x2 Simplifying K = 1.5 + -1k + 1.5x2
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