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Simplifying 2d + (8 + -5) = 10(5 + -2) + d(126) Combine like terms: 8 + -5 = 3 2d + (3) = 10(5 + -2) + d(126) 2d + 3 = 10(5 + -2) + d(126) Reorder the terms: 3 + 2d = 10(5 + -2) + d(126) Combine like terms: 5 + -2 = 3 3 + 2d = 10(3) + d(126) Multiply 10 * 3 3 + 2d = 30 + d(126) Reorder the terms for easier multiplication: 3 + 2d = 30 + 126d Solving 3 + 2d = 30 + 126d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-126d' to each side of the equation. 3 + 2d + -126d = 30 + 126d + -126d Combine like terms: 2d + -126d = -124d 3 + -124d = 30 + 126d + -126d Combine like terms: 126d + -126d = 0 3 + -124d = 30 + 0 3 + -124d = 30 Add '-3' to each side of the equation. 3 + -3 + -124d = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -124d = 30 + -3 -124d = 30 + -3 Combine like terms: 30 + -3 = 27 -124d = 27 Divide each side by '-124'. d = -0.2177419355 Simplifying d = -0.2177419355
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