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Simplifying d + d + d + d + 12 = d + d + 30 Reorder the terms: 12 + d + d + d + d = d + d + 30 Combine like terms: d + d = 2d 12 + 2d + d + d = d + d + 30 Combine like terms: 2d + d = 3d 12 + 3d + d = d + d + 30 Combine like terms: 3d + d = 4d 12 + 4d = d + d + 30 Reorder the terms: 12 + 4d = 30 + d + d Combine like terms: d + d = 2d 12 + 4d = 30 + 2d Solving 12 + 4d = 30 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 12 + 4d + -2d = 30 + 2d + -2d Combine like terms: 4d + -2d = 2d 12 + 2d = 30 + 2d + -2d Combine like terms: 2d + -2d = 0 12 + 2d = 30 + 0 12 + 2d = 30 Add '-12' to each side of the equation. 12 + -12 + 2d = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 2d = 30 + -12 2d = 30 + -12 Combine like terms: 30 + -12 = 18 2d = 18 Divide each side by '2'. d = 9 Simplifying d = 9
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