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Simplifying 4x + 5y + 6d + 3x = 0 Reorder the terms: 6d + 4x + 3x + 5y = 0 Combine like terms: 4x + 3x = 7x 6d + 7x + 5y = 0 Solving 6d + 7x + 5y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7x' to each side of the equation. 6d + 7x + -7x + 5y = 0 + -7x Combine like terms: 7x + -7x = 0 6d + 0 + 5y = 0 + -7x 6d + 5y = 0 + -7x Remove the zero: 6d + 5y = -7x Add '-5y' to each side of the equation. 6d + 5y + -5y = -7x + -5y Combine like terms: 5y + -5y = 0 6d + 0 = -7x + -5y 6d = -7x + -5y Divide each side by '6'. d = -1.166666667x + -0.8333333333y Simplifying d = -1.166666667x + -0.8333333333y
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