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Simplifying 2d + -11 + 3d = 2(d + 1) Reorder the terms: -11 + 2d + 3d = 2(d + 1) Combine like terms: 2d + 3d = 5d -11 + 5d = 2(d + 1) Reorder the terms: -11 + 5d = 2(1 + d) -11 + 5d = (1 * 2 + d * 2) -11 + 5d = (2 + 2d) Solving -11 + 5d = 2 + 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. -11 + 5d + -2d = 2 + 2d + -2d Combine like terms: 5d + -2d = 3d -11 + 3d = 2 + 2d + -2d Combine like terms: 2d + -2d = 0 -11 + 3d = 2 + 0 -11 + 3d = 2 Add '11' to each side of the equation. -11 + 11 + 3d = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 3d = 2 + 11 3d = 2 + 11 Combine like terms: 2 + 11 = 13 3d = 13 Divide each side by '3'. d = 4.333333333 Simplifying d = 4.333333333
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