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Simplifying (6d + 5) + -1(2 + -3d) = -3d + -1(-3) Reorder the terms: (5 + 6d) + -1(2 + -3d) = -3d + -1(-3) Remove parenthesis around (5 + 6d) 5 + 6d + -1(2 + -3d) = -3d + -1(-3) 5 + 6d + (2 * -1 + -3d * -1) = -3d + -1(-3) 5 + 6d + (-2 + 3d) = -3d + -1(-3) Reorder the terms: 5 + -2 + 6d + 3d = -3d + -1(-3) Combine like terms: 5 + -2 = 3 3 + 6d + 3d = -3d + -1(-3) Combine like terms: 6d + 3d = 9d 3 + 9d = -3d + -1(-3) Multiply -1 * -3 3 + 9d = -3d + 3 Reorder the terms: 3 + 9d = 3 + -3d Add '-3' to each side of the equation. 3 + -3 + 9d = 3 + -3 + -3d Combine like terms: 3 + -3 = 0 0 + 9d = 3 + -3 + -3d 9d = 3 + -3 + -3d Combine like terms: 3 + -3 = 0 9d = 0 + -3d 9d = -3d Solving 9d = -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. 9d + 3d = -3d + 3d Combine like terms: 9d + 3d = 12d 12d = -3d + 3d Combine like terms: -3d + 3d = 0 12d = 0 Divide each side by '12'. d = 0 Simplifying d = 0
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