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Simplifying 2d + 7 = 8(4 + -1d) Reorder the terms: 7 + 2d = 8(4 + -1d) 7 + 2d = (4 * 8 + -1d * 8) 7 + 2d = (32 + -8d) Solving 7 + 2d = 32 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 7 + 2d + 8d = 32 + -8d + 8d Combine like terms: 2d + 8d = 10d 7 + 10d = 32 + -8d + 8d Combine like terms: -8d + 8d = 0 7 + 10d = 32 + 0 7 + 10d = 32 Add '-7' to each side of the equation. 7 + -7 + 10d = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 10d = 32 + -7 10d = 32 + -7 Combine like terms: 32 + -7 = 25 10d = 25 Divide each side by '10'. d = 2.5 Simplifying d = 2.5
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