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Simplifying 4d + 8 = 3(2d + 1) Reorder the terms: 8 + 4d = 3(2d + 1) Reorder the terms: 8 + 4d = 3(1 + 2d) 8 + 4d = (1 * 3 + 2d * 3) 8 + 4d = (3 + 6d) Solving 8 + 4d = 3 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 8 + 4d + -6d = 3 + 6d + -6d Combine like terms: 4d + -6d = -2d 8 + -2d = 3 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + -2d = 3 + 0 8 + -2d = 3 Add '-8' to each side of the equation. 8 + -8 + -2d = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -2d = 3 + -8 -2d = 3 + -8 Combine like terms: 3 + -8 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5
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