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Simplifying 4d + 5 = 3d + -7 Reorder the terms: 5 + 4d = 3d + -7 Reorder the terms: 5 + 4d = -7 + 3d Solving 5 + 4d = -7 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 5 + 4d + -3d = -7 + 3d + -3d Combine like terms: 4d + -3d = 1d 5 + 1d = -7 + 3d + -3d Combine like terms: 3d + -3d = 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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