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Simplifying 9x4 + -1x6 + -27x2 + 27k = 0 Reorder the terms: 27k + -27x2 + 9x4 + -1x6 = 0 Solving 27k + -27x2 + 9x4 + -1x6 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27x2' to each side of the equation. 27k + -27x2 + 9x4 + 27x2 + -1x6 = 0 + 27x2 Reorder the terms: 27k + -27x2 + 27x2 + 9x4 + -1x6 = 0 + 27x2 Combine like terms: -27x2 + 27x2 = 0 27k + 0 + 9x4 + -1x6 = 0 + 27x2 27k + 9x4 + -1x6 = 0 + 27x2 Remove the zero: 27k + 9x4 + -1x6 = 27x2 Add '-9x4' to each side of the equation. 27k + 9x4 + -9x4 + -1x6 = 27x2 + -9x4 Combine like terms: 9x4 + -9x4 = 0 27k + 0 + -1x6 = 27x2 + -9x4 27k + -1x6 = 27x2 + -9x4 Add 'x6' to each side of the equation. 27k + -1x6 + x6 = 27x2 + -9x4 + x6 Combine like terms: -1x6 + x6 = 0 27k + 0 = 27x2 + -9x4 + x6 27k = 27x2 + -9x4 + x6 Divide each side by '27'. k = x2 + -0.3333333333x4 + 0.03703703704x6 Simplifying k = x2 + -0.3333333333x4 + 0.03703703704x6
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