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Simplifying 6x2y3 + 10x2y2k + -30x3y2 + -2xy3 = 0 Reorder the terms: 10kx2y2 + -2xy3 + 6x2y3 + -30x3y2 = 0 Solving 10kx2y2 + -2xy3 + 6x2y3 + -30x3y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2xy3' to each side of the equation. 10kx2y2 + -2xy3 + 6x2y3 + 2xy3 + -30x3y2 = 0 + 2xy3 Reorder the terms: 10kx2y2 + -2xy3 + 2xy3 + 6x2y3 + -30x3y2 = 0 + 2xy3 Combine like terms: -2xy3 + 2xy3 = 0 10kx2y2 + 0 + 6x2y3 + -30x3y2 = 0 + 2xy3 10kx2y2 + 6x2y3 + -30x3y2 = 0 + 2xy3 Remove the zero: 10kx2y2 + 6x2y3 + -30x3y2 = 2xy3 Add '-6x2y3' to each side of the equation. 10kx2y2 + 6x2y3 + -6x2y3 + -30x3y2 = 2xy3 + -6x2y3 Combine like terms: 6x2y3 + -6x2y3 = 0 10kx2y2 + 0 + -30x3y2 = 2xy3 + -6x2y3 10kx2y2 + -30x3y2 = 2xy3 + -6x2y3 Add '30x3y2' to each side of the equation. 10kx2y2 + -30x3y2 + 30x3y2 = 2xy3 + -6x2y3 + 30x3y2 Combine like terms: -30x3y2 + 30x3y2 = 0 10kx2y2 + 0 = 2xy3 + -6x2y3 + 30x3y2 10kx2y2 = 2xy3 + -6x2y3 + 30x3y2 Divide each side by '10x2y2'. k = 0.2x-1y + -0.6y + 3x Simplifying k = 0.2x-1y + -0.6y + 3x Reorder the terms: k = 0.2x-1y + 3x + -0.6y
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