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Simplifying 3 = 2(3d + -8) + 5(d + 6) Reorder the terms: 3 = 2(-8 + 3d) + 5(d + 6) 3 = (-8 * 2 + 3d * 2) + 5(d + 6) 3 = (-16 + 6d) + 5(d + 6) Reorder the terms: 3 = -16 + 6d + 5(6 + d) 3 = -16 + 6d + (6 * 5 + d * 5) 3 = -16 + 6d + (30 + 5d) Reorder the terms: 3 = -16 + 30 + 6d + 5d Combine like terms: -16 + 30 = 14 3 = 14 + 6d + 5d Combine like terms: 6d + 5d = 11d 3 = 14 + 11d Solving 3 = 14 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. 3 + -11d = 14 + 11d + -11d Combine like terms: 11d + -11d = 0 3 + -11d = 14 + 0 3 + -11d = 14 Add '-3' to each side of the equation. 3 + -3 + -11d = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -11d = 14 + -3 -11d = 14 + -3 Combine like terms: 14 + -3 = 11 -11d = 11 Divide each side by '-11'. d = -1 Simplifying d = -1
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