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Simplifying 5d + 2(2d) = 3(1 + d) + 1 Remove parenthesis around (2d) 5d + 2 * 2d = 3(1 + d) + 1 Multiply 2 * 2 5d + 4d = 3(1 + d) + 1 Combine like terms: 5d + 4d = 9d 9d = 3(1 + d) + 1 9d = (1 * 3 + d * 3) + 1 9d = (3 + 3d) + 1 Reorder the terms: 9d = 3 + 1 + 3d Combine like terms: 3 + 1 = 4 9d = 4 + 3d Solving 9d = 4 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 9d + -3d = 4 + 3d + -3d Combine like terms: 9d + -3d = 6d 6d = 4 + 3d + -3d Combine like terms: 3d + -3d = 0 6d = 4 + 0 6d = 4 Divide each side by '6'. d = 0.6666666667 Simplifying d = 0.6666666667
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