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Simplifying 4(2d + 7) = 2d + 25 + -3(2d + 1) Reorder the terms: 4(7 + 2d) = 2d + 25 + -3(2d + 1) (7 * 4 + 2d * 4) = 2d + 25 + -3(2d + 1) (28 + 8d) = 2d + 25 + -3(2d + 1) Reorder the terms: 28 + 8d = 2d + 25 + -3(1 + 2d) 28 + 8d = 2d + 25 + (1 * -3 + 2d * -3) 28 + 8d = 2d + 25 + (-3 + -6d) Reorder the terms: 28 + 8d = 25 + -3 + 2d + -6d Combine like terms: 25 + -3 = 22 28 + 8d = 22 + 2d + -6d Combine like terms: 2d + -6d = -4d 28 + 8d = 22 + -4d Solving 28 + 8d = 22 + -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. 28 + 8d + 4d = 22 + -4d + 4d Combine like terms: 8d + 4d = 12d 28 + 12d = 22 + -4d + 4d Combine like terms: -4d + 4d = 0 28 + 12d = 22 + 0 28 + 12d = 22 Add '-28' to each side of the equation. 28 + -28 + 12d = 22 + -28 Combine like terms: 28 + -28 = 0 0 + 12d = 22 + -28 12d = 22 + -28 Combine like terms: 22 + -28 = -6 12d = -6 Divide each side by '12'. d = -0.5 Simplifying d = -0.5
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