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Simplifying 3(d + 3) + -2(2 + -1d) = 0 Reorder the terms: 3(3 + d) + -2(2 + -1d) = 0 (3 * 3 + d * 3) + -2(2 + -1d) = 0 (9 + 3d) + -2(2 + -1d) = 0 9 + 3d + (2 * -2 + -1d * -2) = 0 9 + 3d + (-4 + 2d) = 0 Reorder the terms: 9 + -4 + 3d + 2d = 0 Combine like terms: 9 + -4 = 5 5 + 3d + 2d = 0 Combine like terms: 3d + 2d = 5d 5 + 5d = 0 Solving 5 + 5d = 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 + 5d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5d = 0 + -5 5d = 0 + -5 Combine like terms: 0 + -5 = -5 5d = -5 Divide each side by '5'. d = -1 Simplifying d = -1
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