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Simplifying 3 = 2(3d + -8) + (d + 6) Reorder the terms: 3 = 2(-8 + 3d) + (d + 6) 3 = (-8 * 2 + 3d * 2) + (d + 6) 3 = (-16 + 6d) + (d + 6) Reorder the terms: 3 = -16 + 6d + (6 + d) Remove parenthesis around (6 + d) 3 = -16 + 6d + 6 + d Reorder the terms: 3 = -16 + 6 + 6d + d Combine like terms: -16 + 6 = -10 3 = -10 + 6d + d Combine like terms: 6d + d = 7d 3 = -10 + 7d Solving 3 = -10 + 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. 3 + -7d = -10 + 7d + -7d Combine like terms: 7d + -7d = 0 3 + -7d = -10 + 0 3 + -7d = -10 Add '-3' to each side of the equation. 3 + -3 + -7d = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -7d = -10 + -3 -7d = -10 + -3 Combine like terms: -10 + -3 = -13 -7d = -13 Divide each side by '-7'. d = 1.857142857 Simplifying d = 1.857142857
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