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Simplifying 7 + 3d + -5 = -1 + d + -12 + d Reorder the terms: 7 + -5 + 3d = -1 + d + -12 + d Combine like terms: 7 + -5 = 2 2 + 3d = -1 + d + -12 + d Reorder the terms: 2 + 3d = -1 + -12 + d + d Combine like terms: -1 + -12 = -13 2 + 3d = -13 + d + d Combine like terms: d + d = 2d 2 + 3d = -13 + 2d Solving 2 + 3d = -13 + 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. 2 + 3d + -2d = -13 + 2d + -2d Combine like terms: 3d + -2d = 1d 2 + 1d = -13 + 2d + -2d Combine like terms: 2d + -2d = 0 2 + 1d = -13 + 0 2 + 1d = -13 Add '-2' to each side of the equation. 2 + -2 + 1d = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 1d = -13 + -2 1d = -13 + -2 Combine like terms: -13 + -2 = -15 1d = -15 Divide each side by '1'. d = -15 Simplifying d = -15
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