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Simplifying cx + -2xy + -3dx + 6dy = 0 Reorder the terms: cx + -3dx + 6dy + -2xy = 0 Solving cx + -3dx + 6dy + -2xy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3dx' to each side of the equation. cx + -3dx + 6dy + 3dx + -2xy = 0 + 3dx Reorder the terms: cx + -3dx + 3dx + 6dy + -2xy = 0 + 3dx Combine like terms: -3dx + 3dx = 0 cx + 0 + 6dy + -2xy = 0 + 3dx cx + 6dy + -2xy = 0 + 3dx Remove the zero: cx + 6dy + -2xy = 3dx Add '-6dy' to each side of the equation. cx + 6dy + -6dy + -2xy = 3dx + -6dy Combine like terms: 6dy + -6dy = 0 cx + 0 + -2xy = 3dx + -6dy cx + -2xy = 3dx + -6dy Add '2xy' to each side of the equation. cx + -2xy + 2xy = 3dx + -6dy + 2xy Combine like terms: -2xy + 2xy = 0 cx + 0 = 3dx + -6dy + 2xy cx = 3dx + -6dy + 2xy Divide each side by 'x'. c = 3d + -6dx-1y + 2y Simplifying c = 3d + -6dx-1y + 2y
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