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Simplifying 3d + 27 = 10d + 20 Reorder the terms: 27 + 3d = 10d + 20 Reorder the terms: 27 + 3d = 20 + 10d Solving 27 + 3d = 20 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 27 + 3d + -10d = 20 + 10d + -10d Combine like terms: 3d + -10d = -7d 27 + -7d = 20 + 10d + -10d Combine like terms: 10d + -10d = 0 27 + -7d = 20 + 0 27 + -7d = 20 Add '-27' to each side of the equation. 27 + -27 + -7d = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -7d = 20 + -27 -7d = 20 + -27 Combine like terms: 20 + -27 = -7 -7d = -7 Divide each side by '-7'. d = 1 Simplifying d = 1
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