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Simplifying 3(d + 27) = 8 + -4d Reorder the terms: 3(27 + d) = 8 + -4d (27 * 3 + d * 3) = 8 + -4d (81 + 3d) = 8 + -4d Solving 81 + 3d = 8 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 81 + 3d + 4d = 8 + -4d + 4d Combine like terms: 3d + 4d = 7d 81 + 7d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 81 + 7d = 8 + 0 81 + 7d = 8 Add '-81' to each side of the equation. 81 + -81 + 7d = 8 + -81 Combine like terms: 81 + -81 = 0 0 + 7d = 8 + -81 7d = 8 + -81 Combine like terms: 8 + -81 = -73 7d = -73 Divide each side by '7'. d = -10.42857143 Simplifying d = -10.42857143
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