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Simplifying 3(8y + x) + -1(4d + -2) = 0 Reorder the terms: 3(x + 8y) + -1(4d + -2) = 0 (x * 3 + 8y * 3) + -1(4d + -2) = 0 (3x + 24y) + -1(4d + -2) = 0 Reorder the terms: 3x + 24y + -1(-2 + 4d) = 0 3x + 24y + (-2 * -1 + 4d * -1) = 0 3x + 24y + (2 + -4d) = 0 Reorder the terms: 2 + -4d + 3x + 24y = 0 Solving 2 + -4d + 3x + 24y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4d + 3x + -2 + 24y = 0 + -2 Reorder the terms: 2 + -2 + -4d + 3x + 24y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4d + 3x + 24y = 0 + -2 -4d + 3x + 24y = 0 + -2 Combine like terms: 0 + -2 = -2 -4d + 3x + 24y = -2 Add '-3x' to each side of the equation. -4d + 3x + -3x + 24y = -2 + -3x Combine like terms: 3x + -3x = 0 -4d + 0 + 24y = -2 + -3x -4d + 24y = -2 + -3x Add '-24y' to each side of the equation. -4d + 24y + -24y = -2 + -3x + -24y Combine like terms: 24y + -24y = 0 -4d + 0 = -2 + -3x + -24y -4d = -2 + -3x + -24y Divide each side by '-4'. d = 0.5 + 0.75x + 6y Simplifying d = 0.5 + 0.75x + 6y
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