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Simplifying 2(d + 30) = 52 + 4d Reorder the terms: 2(30 + d) = 52 + 4d (30 * 2 + d * 2) = 52 + 4d (60 + 2d) = 52 + 4d Solving 60 + 2d = 52 + 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. 60 + 2d + -4d = 52 + 4d + -4d Combine like terms: 2d + -4d = -2d 60 + -2d = 52 + 4d + -4d Combine like terms: 4d + -4d = 0 60 + -2d = 52 + 0 60 + -2d = 52 Add '-60' to each side of the equation. 60 + -60 + -2d = 52 + -60 Combine like terms: 60 + -60 = 0 0 + -2d = 52 + -60 -2d = 52 + -60 Combine like terms: 52 + -60 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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