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Simplifying 6(2dx + y) = 11dx + -7y (2dx * 6 + y * 6) = 11dx + -7y (12dx + 6y) = 11dx + -7y Solving 12dx + 6y = 11dx + -7y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11dx' to each side of the equation. 12dx + -11dx + 6y = 11dx + -11dx + -7y Combine like terms: 12dx + -11dx = 1dx 1dx + 6y = 11dx + -11dx + -7y Combine like terms: 11dx + -11dx = 0 1dx + 6y = 0 + -7y 1dx + 6y = -7y Add '-6y' to each side of the equation. 1dx + 6y + -6y = -7y + -6y Combine like terms: 6y + -6y = 0 1dx + 0 = -7y + -6y 1dx = -7y + -6y Combine like terms: -7y + -6y = -13y 1dx = -13y Divide each side by '1x'. d = -13x-1y Simplifying d = -13x-1y
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