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Simplifying 78 = 3d + 12 + -1d + 4 Reorder the terms: 78 = 12 + 4 + 3d + -1d Combine like terms: 12 + 4 = 16 78 = 16 + 3d + -1d Combine like terms: 3d + -1d = 2d 78 = 16 + 2d Solving 78 = 16 + 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. 78 + -2d = 16 + 2d + -2d Combine like terms: 2d + -2d = 0 78 + -2d = 16 + 0 78 + -2d = 16 Add '-78' to each side of the equation. 78 + -78 + -2d = 16 + -78 Combine like terms: 78 + -78 = 0 0 + -2d = 16 + -78 -2d = 16 + -78 Combine like terms: 16 + -78 = -62 -2d = -62 Divide each side by '-2'. d = 31 Simplifying d = 31
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