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Simplifying 3(g + 2d) + 4 = 0 Reorder the terms: 3(2d + g) + 4 = 0 (2d * 3 + g * 3) + 4 = 0 (6d + 3g) + 4 = 0 Reorder the terms: 4 + 6d + 3g = 0 Solving 4 + 6d + 3g = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6d + -4 + 3g = 0 + -4 Reorder the terms: 4 + -4 + 6d + 3g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6d + 3g = 0 + -4 6d + 3g = 0 + -4 Combine like terms: 0 + -4 = -4 6d + 3g = -4 Add '-3g' to each side of the equation. 6d + 3g + -3g = -4 + -3g Combine like terms: 3g + -3g = 0 6d + 0 = -4 + -3g 6d = -4 + -3g Divide each side by '6'. d = -0.6666666667 + -0.5g Simplifying d = -0.6666666667 + -0.5g
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