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Simplifying 3d + 1 = 4d + -7 Reorder the terms: 1 + 3d = 4d + -7 Reorder the terms: 1 + 3d = -7 + 4d Solving 1 + 3d = -7 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 1 + 3d + -4d = -7 + 4d + -4d Combine like terms: 3d + -4d = -1d 1 + -1d = -7 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + -1d = -7 + 0 1 + -1d = -7 Add '-1' to each side of the equation. 1 + -1 + -1d = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = -7 + -1 -1d = -7 + -1 Combine like terms: -7 + -1 = -8 -1d = -8 Divide each side by '-1'. d = 8 Simplifying d = 8
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