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Simplifying 3[2d + -9] + 5d = 105 Reorder the terms: 3[-9 + 2d] + 5d = 105 [-9 * 3 + 2d * 3] + 5d = 105 [-27 + 6d] + 5d = 105 Combine like terms: 6d + 5d = 11d -27 + 11d = 105 Solving -27 + 11d = 105 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 11d = 105 + 27 Combine like terms: -27 + 27 = 0 0 + 11d = 105 + 27 11d = 105 + 27 Combine like terms: 105 + 27 = 132 11d = 132 Divide each side by '11'. d = 12 Simplifying d = 12
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