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Simplifying 5d + 2 = 7d + 3 Reorder the terms: 2 + 5d = 7d + 3 Reorder the terms: 2 + 5d = 3 + 7d Solving 2 + 5d = 3 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 2 + 5d + -7d = 3 + 7d + -7d Combine like terms: 5d + -7d = -2d 2 + -2d = 3 + 7d + -7d Combine like terms: 7d + -7d = 0 2 + -2d = 3 + 0 2 + -2d = 3 Add '-2' to each side of the equation. 2 + -2 + -2d = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -2d = 3 + -2 -2d = 3 + -2 Combine like terms: 3 + -2 = 1 -2d = 1 Divide each side by '-2'. d = -0.5 Simplifying d = -0.5
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