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