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