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Simplifying 4d + 12 = 5d + -8 Reorder the terms: 12 + 4d = 5d + -8 Reorder the terms: 12 + 4d = -8 + 5d Solving 12 + 4d = -8 + 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. 12 + 4d + -5d = -8 + 5d + -5d Combine like terms: 4d + -5d = -1d 12 + -1d = -8 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + -1d = -8 + 0 12 + -1d = -8 Add '-12' to each side of the equation. 12 + -12 + -1d = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = -8 + -12 -1d = -8 + -12 Combine like terms: -8 + -12 = -20 -1d = -20 Divide each side by '-1'. d = 20 Simplifying d = 20
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