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Simplifying (6d + 8) + -1(2d + -5) = (2d + 6) + (7d + -5) Reorder the terms: (8 + 6d) + -1(2d + -5) = (2d + 6) + (7d + -5) Remove parenthesis around (8 + 6d) 8 + 6d + -1(2d + -5) = (2d + 6) + (7d + -5) Reorder the terms: 8 + 6d + -1(-5 + 2d) = (2d + 6) + (7d + -5) 8 + 6d + (-5 * -1 + 2d * -1) = (2d + 6) + (7d + -5) 8 + 6d + (5 + -2d) = (2d + 6) + (7d + -5) Reorder the terms: 8 + 5 + 6d + -2d = (2d + 6) + (7d + -5) Combine like terms: 8 + 5 = 13 13 + 6d + -2d = (2d + 6) + (7d + -5) Combine like terms: 6d + -2d = 4d 13 + 4d = (2d + 6) + (7d + -5) Reorder the terms: 13 + 4d = (6 + 2d) + (7d + -5) Remove parenthesis around (6 + 2d) 13 + 4d = 6 + 2d + (7d + -5) Reorder the terms: 13 + 4d = 6 + 2d + (-5 + 7d) Remove parenthesis around (-5 + 7d) 13 + 4d = 6 + 2d + -5 + 7d Reorder the terms: 13 + 4d = 6 + -5 + 2d + 7d Combine like terms: 6 + -5 = 1 13 + 4d = 1 + 2d + 7d Combine like terms: 2d + 7d = 9d 13 + 4d = 1 + 9d Solving 13 + 4d = 1 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 13 + 4d + -9d = 1 + 9d + -9d Combine like terms: 4d + -9d = -5d 13 + -5d = 1 + 9d + -9d Combine like terms: 9d + -9d = 0 13 + -5d = 1 + 0 13 + -5d = 1 Add '-13' to each side of the equation. 13 + -13 + -5d = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -5d = 1 + -13 -5d = 1 + -13 Combine like terms: 1 + -13 = -12 -5d = -12 Divide each side by '-5'. d = 2.4 Simplifying d = 2.4
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