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Simplifying 2(2dx + y) = 3dx + -3y (2dx * 2 + y * 2) = 3dx + -3y (4dx + 2y) = 3dx + -3y Solving 4dx + 2y = 3dx + -3y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dx' to each side of the equation. 4dx + -3dx + 2y = 3dx + -3dx + -3y Combine like terms: 4dx + -3dx = 1dx 1dx + 2y = 3dx + -3dx + -3y Combine like terms: 3dx + -3dx = 0 1dx + 2y = 0 + -3y 1dx + 2y = -3y Add '-2y' to each side of the equation. 1dx + 2y + -2y = -3y + -2y Combine like terms: 2y + -2y = 0 1dx + 0 = -3y + -2y 1dx = -3y + -2y Combine like terms: -3y + -2y = -5y 1dx = -5y Divide each side by '1x'. d = -5x-1y Simplifying d = -5x-1y
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