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Simplifying 2(4d + 7) = 2d + -4 Reorder the terms: 2(7 + 4d) = 2d + -4 (7 * 2 + 4d * 2) = 2d + -4 (14 + 8d) = 2d + -4 Reorder the terms: 14 + 8d = -4 + 2d Solving 14 + 8d = -4 + 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. 14 + 8d + -2d = -4 + 2d + -2d Combine like terms: 8d + -2d = 6d 14 + 6d = -4 + 2d + -2d Combine like terms: 2d + -2d = 0 14 + 6d = -4 + 0 14 + 6d = -4 Add '-14' to each side of the equation. 14 + -14 + 6d = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 6d = -4 + -14 6d = -4 + -14 Combine like terms: -4 + -14 = -18 6d = -18 Divide each side by '6'. d = -3 Simplifying d = -3
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