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Simplifying 5(2d + 8) = 8g + 27 Reorder the terms: 5(8 + 2d) = 8g + 27 (8 * 5 + 2d * 5) = 8g + 27 (40 + 10d) = 8g + 27 Reorder the terms: 40 + 10d = 27 + 8g Solving 40 + 10d = 27 + 8g Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10d = 27 + -40 + 8g Combine like terms: 40 + -40 = 0 0 + 10d = 27 + -40 + 8g 10d = 27 + -40 + 8g Combine like terms: 27 + -40 = -13 10d = -13 + 8g Divide each side by '10'. d = -1.3 + 0.8g Simplifying d = -1.3 + 0.8g
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