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Simplifying 6dx + 3y = 5dx + -2y Solving 6dx + 3y = 5dx + -2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5dx' to each side of the equation. 6dx + -5dx + 3y = 5dx + -5dx + -2y Combine like terms: 6dx + -5dx = 1dx 1dx + 3y = 5dx + -5dx + -2y Combine like terms: 5dx + -5dx = 0 1dx + 3y = 0 + -2y 1dx + 3y = -2y Add '-3y' to each side of the equation. 1dx + 3y + -3y = -2y + -3y Combine like terms: 3y + -3y = 0 1dx + 0 = -2y + -3y 1dx = -2y + -3y Combine like terms: -2y + -3y = -5y 1dx = -5y Divide each side by '1x'. d = -5x-1y Simplifying d = -5x-1y
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