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Simplifying 2x3 + -1x2 + -18x + 36k = 0 Reorder the terms: 36k + -18x + -1x2 + 2x3 = 0 Solving 36k + -18x + -1x2 + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18x' to each side of the equation. 36k + -18x + -1x2 + 18x + 2x3 = 0 + 18x Reorder the terms: 36k + -18x + 18x + -1x2 + 2x3 = 0 + 18x Combine like terms: -18x + 18x = 0 36k + 0 + -1x2 + 2x3 = 0 + 18x 36k + -1x2 + 2x3 = 0 + 18x Remove the zero: 36k + -1x2 + 2x3 = 18x Add 'x2' to each side of the equation. 36k + -1x2 + x2 + 2x3 = 18x + x2 Combine like terms: -1x2 + x2 = 0 36k + 0 + 2x3 = 18x + x2 36k + 2x3 = 18x + x2 Add '-2x3' to each side of the equation. 36k + 2x3 + -2x3 = 18x + x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 36k + 0 = 18x + x2 + -2x3 36k = 18x + x2 + -2x3 Divide each side by '36'. k = 0.5x + 0.02777777778x2 + -0.05555555556x3 Simplifying k = 0.5x + 0.02777777778x2 + -0.05555555556x3
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