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Simplifying 4x + 5y + -3x + 7d + -8 = 0 Reorder the terms: -8 + 7d + 4x + -3x + 5y = 0 Combine like terms: 4x + -3x = 1x -8 + 7d + 1x + 5y = 0 Solving -8 + 7d + 1x + 5y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 7d + 1x + 8 + 5y = 0 + 8 Reorder the terms: -8 + 8 + 7d + 1x + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7d + 1x + 5y = 0 + 8 7d + 1x + 5y = 0 + 8 Combine like terms: 0 + 8 = 8 7d + 1x + 5y = 8 Add '-1x' to each side of the equation. 7d + 1x + -1x + 5y = 8 + -1x Combine like terms: 1x + -1x = 0 7d + 0 + 5y = 8 + -1x 7d + 5y = 8 + -1x Add '-5y' to each side of the equation. 7d + 5y + -5y = 8 + -1x + -5y Combine like terms: 5y + -5y = 0 7d + 0 = 8 + -1x + -5y 7d = 8 + -1x + -5y Divide each side by '7'. d = 1.142857143 + -0.1428571429x + -0.7142857143y Simplifying d = 1.142857143 + -0.1428571429x + -0.7142857143y
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