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Simplifying 28 + -1(2d + 11) = 14 + -3(d + 2) Reorder the terms: 28 + -1(11 + 2d) = 14 + -3(d + 2) 28 + (11 * -1 + 2d * -1) = 14 + -3(d + 2) 28 + (-11 + -2d) = 14 + -3(d + 2) Combine like terms: 28 + -11 = 17 17 + -2d = 14 + -3(d + 2) Reorder the terms: 17 + -2d = 14 + -3(2 + d) 17 + -2d = 14 + (2 * -3 + d * -3) 17 + -2d = 14 + (-6 + -3d) Combine like terms: 14 + -6 = 8 17 + -2d = 8 + -3d Solving 17 + -2d = 8 + -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. 17 + -2d + 3d = 8 + -3d + 3d Combine like terms: -2d + 3d = 1d 17 + 1d = 8 + -3d + 3d Combine like terms: -3d + 3d = 0 17 + 1d = 8 + 0 17 + 1d = 8 Add '-17' to each side of the equation. 17 + -17 + 1d = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 1d = 8 + -17 1d = 8 + -17 Combine like terms: 8 + -17 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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