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Simplifying 7 + 12d + -3 = 64 + -1d + 3d Reorder the terms: 7 + -3 + 12d = 64 + -1d + 3d Combine like terms: 7 + -3 = 4 4 + 12d = 64 + -1d + 3d Combine like terms: -1d + 3d = 2d 4 + 12d = 64 + 2d Solving 4 + 12d = 64 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 4 + 12d + -2d = 64 + 2d + -2d Combine like terms: 12d + -2d = 10d 4 + 10d = 64 + 2d + -2d Combine like terms: 2d + -2d = 0 4 + 10d = 64 + 0 4 + 10d = 64 Add '-4' to each side of the equation. 4 + -4 + 10d = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 10d = 64 + -4 10d = 64 + -4 Combine like terms: 64 + -4 = 60 10d = 60 Divide each side by '10'. d = 6 Simplifying d = 6
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