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Simplifying 3(2d + 3) + -2 = 5 + 2(4 + -1d) Reorder the terms: 3(3 + 2d) + -2 = 5 + 2(4 + -1d) (3 * 3 + 2d * 3) + -2 = 5 + 2(4 + -1d) (9 + 6d) + -2 = 5 + 2(4 + -1d) Reorder the terms: 9 + -2 + 6d = 5 + 2(4 + -1d) Combine like terms: 9 + -2 = 7 7 + 6d = 5 + 2(4 + -1d) 7 + 6d = 5 + (4 * 2 + -1d * 2) 7 + 6d = 5 + (8 + -2d) Combine like terms: 5 + 8 = 13 7 + 6d = 13 + -2d Solving 7 + 6d = 13 + -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. 7 + 6d + 2d = 13 + -2d + 2d Combine like terms: 6d + 2d = 8d 7 + 8d = 13 + -2d + 2d Combine like terms: -2d + 2d = 0 7 + 8d = 13 + 0 7 + 8d = 13 Add '-7' to each side of the equation. 7 + -7 + 8d = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 8d = 13 + -7 8d = 13 + -7 Combine like terms: 13 + -7 = 6 8d = 6 Divide each side by '8'. d = 0.75 Simplifying d = 0.75
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