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Simplifying 2(5d + 2) = 2d + -28 Reorder the terms: 2(2 + 5d) = 2d + -28 (2 * 2 + 5d * 2) = 2d + -28 (4 + 10d) = 2d + -28 Reorder the terms: 4 + 10d = -28 + 2d Solving 4 + 10d = -28 + 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 + 10d + -2d = -28 + 2d + -2d Combine like terms: 10d + -2d = 8d 4 + 8d = -28 + 2d + -2d Combine like terms: 2d + -2d = 0 4 + 8d = -28 + 0 4 + 8d = -28 Add '-4' to each side of the equation. 4 + -4 + 8d = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 8d = -28 + -4 8d = -28 + -4 Combine like terms: -28 + -4 = -32 8d = -32 Divide each side by '8'. d = -4 Simplifying d = -4
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