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Simplifying 7 + -3d = 5d + -1 Reorder the terms: 7 + -3d = -1 + 5d Solving 7 + -3d = -1 + 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. 7 + -3d + -5d = -1 + 5d + -5d Combine like terms: -3d + -5d = -8d 7 + -8d = -1 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + -8d = -1 + 0 7 + -8d = -1 Add '-7' to each side of the equation. 7 + -7 + -8d = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -8d = -1 + -7 -8d = -1 + -7 Combine like terms: -1 + -7 = -8 -8d = -8 Divide each side by '-8'. d = 1 Simplifying d = 1
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