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Simplifying 4d + 3 = 7d + 15 Reorder the terms: 3 + 4d = 7d + 15 Reorder the terms: 3 + 4d = 15 + 7d Solving 3 + 4d = 15 + 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 + 4d + -7d = 15 + 7d + -7d Combine like terms: 4d + -7d = -3d 3 + -3d = 15 + 7d + -7d Combine like terms: 7d + -7d = 0 3 + -3d = 15 + 0 3 + -3d = 15 Add '-3' to each side of the equation. 3 + -3 + -3d = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = 15 + -3 -3d = 15 + -3 Combine like terms: 15 + -3 = 12 -3d = 12 Divide each side by '-3'. d = -4 Simplifying d = -4
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