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Simplifying 3d + 7 = 5d + -3 Reorder the terms: 7 + 3d = 5d + -3 Reorder the terms: 7 + 3d = -3 + 5d Solving 7 + 3d = -3 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 7 + 3d + -5d = -3 + 5d + -5d Combine like terms: 3d + -5d = -2d 7 + -2d = -3 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + -2d = -3 + 0 7 + -2d = -3 Add '-7' to each side of the equation. 7 + -7 + -2d = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2d = -3 + -7 -2d = -3 + -7 Combine like terms: -3 + -7 = -10 -2d = -10 Divide each side by '-2'. d = 5 Simplifying d = 5
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