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Simplifying 7 + 3d + -5 = -1 + 2 + -12 + d Reorder the terms: 7 + -5 + 3d = -1 + 2 + -12 + d Combine like terms: 7 + -5 = 2 2 + 3d = -1 + 2 + -12 + d Combine like terms: -1 + 2 = 1 2 + 3d = 1 + -12 + d Combine like terms: 1 + -12 = -11 2 + 3d = -11 + d Solving 2 + 3d = -11 + 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. 2 + 3d + -1d = -11 + d + -1d Combine like terms: 3d + -1d = 2d 2 + 2d = -11 + d + -1d Combine like terms: d + -1d = 0 2 + 2d = -11 + 0 2 + 2d = -11 Add '-2' to each side of the equation. 2 + -2 + 2d = -11 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = -11 + -2 2d = -11 + -2 Combine like terms: -11 + -2 = -13 2d = -13 Divide each side by '2'. d = -6.5 Simplifying d = -6.5
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