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Simplifying -5d + 4 + 4d = 11 + -1(3d + 2) Reorder the terms: 4 + -5d + 4d = 11 + -1(3d + 2) Combine like terms: -5d + 4d = -1d 4 + -1d = 11 + -1(3d + 2) Reorder the terms: 4 + -1d = 11 + -1(2 + 3d) 4 + -1d = 11 + (2 * -1 + 3d * -1) 4 + -1d = 11 + (-2 + -3d) Combine like terms: 11 + -2 = 9 4 + -1d = 9 + -3d Solving 4 + -1d = 9 + -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. 4 + -1d + 3d = 9 + -3d + 3d Combine like terms: -1d + 3d = 2d 4 + 2d = 9 + -3d + 3d Combine like terms: -3d + 3d = 0 4 + 2d = 9 + 0 4 + 2d = 9 Add '-4' to each side of the equation. 4 + -4 + 2d = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 2d = 9 + -4 2d = 9 + -4 Combine like terms: 9 + -4 = 5 2d = 5 Divide each side by '2'. d = 2.5 Simplifying d = 2.5
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