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Simplifying 2d + 11 + 3d = 7(d + -1) Reorder the terms: 11 + 2d + 3d = 7(d + -1) Combine like terms: 2d + 3d = 5d 11 + 5d = 7(d + -1) Reorder the terms: 11 + 5d = 7(-1 + d) 11 + 5d = (-1 * 7 + d * 7) 11 + 5d = (-7 + 7d) Solving 11 + 5d = -7 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 11 + 5d + -7d = -7 + 7d + -7d Combine like terms: 5d + -7d = -2d 11 + -2d = -7 + 7d + -7d Combine like terms: 7d + -7d = 0 11 + -2d = -7 + 0 11 + -2d = -7 Add '-11' to each side of the equation. 11 + -11 + -2d = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -2d = -7 + -11 -2d = -7 + -11 Combine like terms: -7 + -11 = -18 -2d = -18 Divide each side by '-2'. d = 9 Simplifying d = 9
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