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Simplifying 5d + 12 = 8d + -3 Reorder the terms: 12 + 5d = 8d + -3 Reorder the terms: 12 + 5d = -3 + 8d Solving 12 + 5d = -3 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 12 + 5d + -8d = -3 + 8d + -8d Combine like terms: 5d + -8d = -3d 12 + -3d = -3 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + -3d = -3 + 0 12 + -3d = -3 Add '-12' to each side of the equation. 12 + -12 + -3d = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3d = -3 + -12 -3d = -3 + -12 Combine like terms: -3 + -12 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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