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Simplifying 4(d + 1) = 2d + -2 Reorder the terms: 4(1 + d) = 2d + -2 (1 * 4 + d * 4) = 2d + -2 (4 + 4d) = 2d + -2 Reorder the terms: 4 + 4d = -2 + 2d Solving 4 + 4d = -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. 4 + 4d + -2d = -2 + 2d + -2d Combine like terms: 4d + -2d = 2d 4 + 2d = -2 + 2d + -2d Combine like terms: 2d + -2d = 0 4 + 2d = -2 + 0 4 + 2d = -2 Add '-4' to each side of the equation. 4 + -4 + 2d = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2d = -2 + -4 2d = -2 + -4 Combine like terms: -2 + -4 = -6 2d = -6 Divide each side by '2'. d = -3 Simplifying d = -3
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