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Simplifying 3d + -5 = 7d + 7 Reorder the terms: -5 + 3d = 7d + 7 Reorder the terms: -5 + 3d = 7 + 7d Solving -5 + 3d = 7 + 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. -5 + 3d + -7d = 7 + 7d + -7d Combine like terms: 3d + -7d = -4d -5 + -4d = 7 + 7d + -7d Combine like terms: 7d + -7d = 0 -5 + -4d = 7 + 0 -5 + -4d = 7 Add '5' to each side of the equation. -5 + 5 + -4d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4d = 7 + 5 -4d = 7 + 5 Combine like terms: 7 + 5 = 12 -4d = 12 Divide each side by '-4'. d = -3 Simplifying d = -3
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