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Simplifying (3d + -2) + -1(-2d + -8) = 0 Reorder the terms: (-2 + 3d) + -1(-2d + -8) = 0 Remove parenthesis around (-2 + 3d) -2 + 3d + -1(-2d + -8) = 0 Reorder the terms: -2 + 3d + -1(-8 + -2d) = 0 -2 + 3d + (-8 * -1 + -2d * -1) = 0 -2 + 3d + (8 + 2d) = 0 Reorder the terms: -2 + 8 + 3d + 2d = 0 Combine like terms: -2 + 8 = 6 6 + 3d + 2d = 0 Combine like terms: 3d + 2d = 5d 6 + 5d = 0 Solving 6 + 5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5d = 0 + -6 5d = 0 + -6 Combine like terms: 0 + -6 = -6 5d = -6 Divide each side by '5'. d = -1.2 Simplifying d = -1.2
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