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Simplifying 2d + 7 + -6 = 13 + 3d Reorder the terms: 7 + -6 + 2d = 13 + 3d Combine like terms: 7 + -6 = 1 1 + 2d = 13 + 3d Solving 1 + 2d = 13 + 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. 1 + 2d + -3d = 13 + 3d + -3d Combine like terms: 2d + -3d = -1d 1 + -1d = 13 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + -1d = 13 + 0 1 + -1d = 13 Add '-1' to each side of the equation. 1 + -1 + -1d = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 13 + -1 -1d = 13 + -1 Combine like terms: 13 + -1 = 12 -1d = 12 Divide each side by '-1'. d = -12 Simplifying d = -12
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