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Simplifying (3d + 7) + -1d + 5 = d + -6 Reorder the terms: (7 + 3d) + -1d + 5 = d + -6 Remove parenthesis around (7 + 3d) 7 + 3d + -1d + 5 = d + -6 Reorder the terms: 7 + 5 + 3d + -1d = d + -6 Combine like terms: 7 + 5 = 12 12 + 3d + -1d = d + -6 Combine like terms: 3d + -1d = 2d 12 + 2d = d + -6 Reorder the terms: 12 + 2d = -6 + d Solving 12 + 2d = -6 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 12 + 2d + -1d = -6 + d + -1d Combine like terms: 2d + -1d = 1d 12 + 1d = -6 + d + -1d Combine like terms: d + -1d = 0 12 + 1d = -6 + 0 12 + 1d = -6 Add '-12' to each side of the equation. 12 + -12 + 1d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 1d = -6 + -12 1d = -6 + -12 Combine like terms: -6 + -12 = -18 1d = -18 Divide each side by '1'. d = -18 Simplifying d = -18
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