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Simplifying 7d + 2 = 4(d + 1) Reorder the terms: 2 + 7d = 4(d + 1) Reorder the terms: 2 + 7d = 4(1 + d) 2 + 7d = (1 * 4 + d * 4) 2 + 7d = (4 + 4d) Solving 2 + 7d = 4 + 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. 2 + 7d + -4d = 4 + 4d + -4d Combine like terms: 7d + -4d = 3d 2 + 3d = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 2 + 3d = 4 + 0 2 + 3d = 4 Add '-2' to each side of the equation. 2 + -2 + 3d = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 4 + -2 3d = 4 + -2 Combine like terms: 4 + -2 = 2 3d = 2 Divide each side by '3'. d = 0.6666666667 Simplifying d = 0.6666666667
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