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Simplifying 3d + -5 = 4d + 7 Reorder the terms: -5 + 3d = 4d + 7 Reorder the terms: -5 + 3d = 7 + 4d Solving -5 + 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. -5 + 3d + -4d = 7 + 4d + -4d Combine like terms: 3d + -4d = -1d -5 + -1d = 7 + 4d + -4d Combine like terms: 4d + -4d = 0 -5 + -1d = 7 + 0 -5 + -1d = 7 Add '5' to each side of the equation. -5 + 5 + -1d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1d = 7 + 5 -1d = 7 + 5 Combine like terms: 7 + 5 = 12 -1d = 12 Divide each side by '-1'. d = -12 Simplifying d = -12
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