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Simplifying 2d + 3 = 7d + -2 Reorder the terms: 3 + 2d = 7d + -2 Reorder the terms: 3 + 2d = -2 + 7d Solving 3 + 2d = -2 + 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. 3 + 2d + -7d = -2 + 7d + -7d Combine like terms: 2d + -7d = -5d 3 + -5d = -2 + 7d + -7d Combine like terms: 7d + -7d = 0 3 + -5d = -2 + 0 3 + -5d = -2 Add '-3' to each side of the equation. 3 + -3 + -5d = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5d = -2 + -3 -5d = -2 + -3 Combine like terms: -2 + -3 = -5 -5d = -5 Divide each side by '-5'. d = 1 Simplifying d = 1
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