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Simplifying 3d + 5 = 5d + -7 Reorder the terms: 5 + 3d = 5d + -7 Reorder the terms: 5 + 3d = -7 + 5d Solving 5 + 3d = -7 + 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. 5 + 3d + -5d = -7 + 5d + -5d Combine like terms: 3d + -5d = -2d 5 + -2d = -7 + 5d + -5d Combine like terms: 5d + -5d = 0 5 + -2d = -7 + 0 5 + -2d = -7 Add '-5' to each side of the equation. 5 + -5 + -2d = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = -7 + -5 -2d = -7 + -5 Combine like terms: -7 + -5 = -12 -2d = -12 Divide each side by '-2'. d = 6 Simplifying d = 6
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