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Simplifying (6d + 2) + -1(3d + -3) = 0 Reorder the terms: (2 + 6d) + -1(3d + -3) = 0 Remove parenthesis around (2 + 6d) 2 + 6d + -1(3d + -3) = 0 Reorder the terms: 2 + 6d + -1(-3 + 3d) = 0 2 + 6d + (-3 * -1 + 3d * -1) = 0 2 + 6d + (3 + -3d) = 0 Reorder the terms: 2 + 3 + 6d + -3d = 0 Combine like terms: 2 + 3 = 5 5 + 6d + -3d = 0 Combine like terms: 6d + -3d = 3d 5 + 3d = 0 Solving 5 + 3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 0 + -5 3d = 0 + -5 Combine like terms: 0 + -5 = -5 3d = -5 Divide each side by '3'. d = -1.666666667 Simplifying d = -1.666666667
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