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Simplifying 2(d + 1) = 4d + -6 Reorder the terms: 2(1 + d) = 4d + -6 (1 * 2 + d * 2) = 4d + -6 (2 + 2d) = 4d + -6 Reorder the terms: 2 + 2d = -6 + 4d Solving 2 + 2d = -6 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 2 + 2d + -4d = -6 + 4d + -4d Combine like terms: 2d + -4d = -2d 2 + -2d = -6 + 4d + -4d Combine like terms: 4d + -4d = 0 2 + -2d = -6 + 0 2 + -2d = -6 Add '-2' to each side of the equation. 2 + -2 + -2d = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2d = -6 + -2 -2d = -6 + -2 Combine like terms: -6 + -2 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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