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Simplifying (3d + 5) + -1(d + -2) = 0 Reorder the terms: (5 + 3d) + -1(d + -2) = 0 Remove parenthesis around (5 + 3d) 5 + 3d + -1(d + -2) = 0 Reorder the terms: 5 + 3d + -1(-2 + d) = 0 5 + 3d + (-2 * -1 + d * -1) = 0 5 + 3d + (2 + -1d) = 0 Reorder the terms: 5 + 2 + 3d + -1d = 0 Combine like terms: 5 + 2 = 7 7 + 3d + -1d = 0 Combine like terms: 3d + -1d = 2d 7 + 2d = 0 Solving 7 + 2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 0 + -7 2d = 0 + -7 Combine like terms: 0 + -7 = -7 2d = -7 Divide each side by '2'. d = -3.5 Simplifying d = -3.5
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