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Simplifying 3d + -12(d + -9) + -28 = 2(d + 3) + 7 Reorder the terms: 3d + -12(-9 + d) + -28 = 2(d + 3) + 7 3d + (-9 * -12 + d * -12) + -28 = 2(d + 3) + 7 3d + (108 + -12d) + -28 = 2(d + 3) + 7 Reorder the terms: 108 + -28 + 3d + -12d = 2(d + 3) + 7 Combine like terms: 108 + -28 = 80 80 + 3d + -12d = 2(d + 3) + 7 Combine like terms: 3d + -12d = -9d 80 + -9d = 2(d + 3) + 7 Reorder the terms: 80 + -9d = 2(3 + d) + 7 80 + -9d = (3 * 2 + d * 2) + 7 80 + -9d = (6 + 2d) + 7 Reorder the terms: 80 + -9d = 6 + 7 + 2d Combine like terms: 6 + 7 = 13 80 + -9d = 13 + 2d Solving 80 + -9d = 13 + 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. 80 + -9d + -2d = 13 + 2d + -2d Combine like terms: -9d + -2d = -11d 80 + -11d = 13 + 2d + -2d Combine like terms: 2d + -2d = 0 80 + -11d = 13 + 0 80 + -11d = 13 Add '-80' to each side of the equation. 80 + -80 + -11d = 13 + -80 Combine like terms: 80 + -80 = 0 0 + -11d = 13 + -80 -11d = 13 + -80 Combine like terms: 13 + -80 = -67 -11d = -67 Divide each side by '-11'. d = 6.090909091 Simplifying d = 6.090909091
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