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Simplifying 2d + 7 = 23 + 4d Reorder the terms: 7 + 2d = 23 + 4d Solving 7 + 2d = 23 + 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. 7 + 2d + -4d = 23 + 4d + -4d Combine like terms: 2d + -4d = -2d 7 + -2d = 23 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + -2d = 23 + 0 7 + -2d = 23 Add '-7' to each side of the equation. 7 + -7 + -2d = 23 + -7 Combine like terms: 7 + -7 = 0 0 + -2d = 23 + -7 -2d = 23 + -7 Combine like terms: 23 + -7 = 16 -2d = 16 Divide each side by '-2'. d = -8 Simplifying d = -8
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