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Simplifying 2x2 + 3k + -8 = 0 Reorder the terms: -8 + 3k + 2x2 = 0 Solving -8 + 3k + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3k + 8 + 2x2 = 0 + 8 Reorder the terms: -8 + 8 + 3k + 2x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3k + 2x2 = 0 + 8 3k + 2x2 = 0 + 8 Combine like terms: 0 + 8 = 8 3k + 2x2 = 8 Add '-2x2' to each side of the equation. 3k + 2x2 + -2x2 = 8 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3k + 0 = 8 + -2x2 3k = 8 + -2x2 Divide each side by '3'. k = 2.666666667 + -0.6666666667x2 Simplifying k = 2.666666667 + -0.6666666667x2
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