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Simplifying 3d + 1 = 2(d + 1) Reorder the terms: 1 + 3d = 2(d + 1) Reorder the terms: 1 + 3d = 2(1 + d) 1 + 3d = (1 * 2 + d * 2) 1 + 3d = (2 + 2d) Solving 1 + 3d = 2 + 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. 1 + 3d + -2d = 2 + 2d + -2d Combine like terms: 3d + -2d = 1d 1 + 1d = 2 + 2d + -2d Combine like terms: 2d + -2d = 0 1 + 1d = 2 + 0 1 + 1d = 2 Add '-1' to each side of the equation. 1 + -1 + 1d = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1d = 2 + -1 1d = 2 + -1 Combine like terms: 2 + -1 = 1 1d = 1 Divide each side by '1'. d = 1 Simplifying d = 1
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