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Simplifying 3x3 + 4x2 + -135x + 200k = 5 Reorder the terms: 200k + -135x + 4x2 + 3x3 = 5 Solving 200k + -135x + 4x2 + 3x3 = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '135x' to each side of the equation. 200k + -135x + 4x2 + 135x + 3x3 = 5 + 135x Reorder the terms: 200k + -135x + 135x + 4x2 + 3x3 = 5 + 135x Combine like terms: -135x + 135x = 0 200k + 0 + 4x2 + 3x3 = 5 + 135x 200k + 4x2 + 3x3 = 5 + 135x Add '-4x2' to each side of the equation. 200k + 4x2 + -4x2 + 3x3 = 5 + 135x + -4x2 Combine like terms: 4x2 + -4x2 = 0 200k + 0 + 3x3 = 5 + 135x + -4x2 200k + 3x3 = 5 + 135x + -4x2 Add '-3x3' to each side of the equation. 200k + 3x3 + -3x3 = 5 + 135x + -4x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 200k + 0 = 5 + 135x + -4x2 + -3x3 200k = 5 + 135x + -4x2 + -3x3 Divide each side by '200'. k = 0.025 + 0.675x + -0.02x2 + -0.015x3 Simplifying k = 0.025 + 0.675x + -0.02x2 + -0.015x3
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