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Simplifying 3d + 5 = -2(d + 6) + -1d Reorder the terms: 5 + 3d = -2(d + 6) + -1d Reorder the terms: 5 + 3d = -2(6 + d) + -1d 5 + 3d = (6 * -2 + d * -2) + -1d 5 + 3d = (-12 + -2d) + -1d Combine like terms: -2d + -1d = -3d 5 + 3d = -12 + -3d Solving 5 + 3d = -12 + -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. 5 + 3d + 3d = -12 + -3d + 3d Combine like terms: 3d + 3d = 6d 5 + 6d = -12 + -3d + 3d Combine like terms: -3d + 3d = 0 5 + 6d = -12 + 0 5 + 6d = -12 Add '-5' to each side of the equation. 5 + -5 + 6d = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = -12 + -5 6d = -12 + -5 Combine like terms: -12 + -5 = -17 6d = -17 Divide each side by '6'. d = -2.833333333 Simplifying d = -2.833333333
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