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Simplifying 7d + 13 = 3d + 7 Reorder the terms: 13 + 7d = 3d + 7 Reorder the terms: 13 + 7d = 7 + 3d Solving 13 + 7d = 7 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 13 + 7d + -3d = 7 + 3d + -3d Combine like terms: 7d + -3d = 4d 13 + 4d = 7 + 3d + -3d Combine like terms: 3d + -3d = 0 13 + 4d = 7 + 0 13 + 4d = 7 Add '-13' to each side of the equation. 13 + -13 + 4d = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 4d = 7 + -13 4d = 7 + -13 Combine like terms: 7 + -13 = -6 4d = -6 Divide each side by '4'. d = -1.5 Simplifying d = -1.5
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