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Simplifying 4d + 7 = 3d + 15 Reorder the terms: 7 + 4d = 3d + 15 Reorder the terms: 7 + 4d = 15 + 3d Solving 7 + 4d = 15 + 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. 7 + 4d + -3d = 15 + 3d + -3d Combine like terms: 4d + -3d = 1d 7 + 1d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 1d = 15 + 0 7 + 1d = 15 Add '-7' to each side of the equation. 7 + -7 + 1d = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = 15 + -7 1d = 15 + -7 Combine like terms: 15 + -7 = 8 1d = 8 Divide each side by '1'. d = 8 Simplifying d = 8
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