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Simplifying 25(2d + -9) + 5d = 105 Reorder the terms: 25(-9 + 2d) + 5d = 105 (-9 * 25 + 2d * 25) + 5d = 105 (-225 + 50d) + 5d = 105 Combine like terms: 50d + 5d = 55d -225 + 55d = 105 Solving -225 + 55d = 105 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + 55d = 105 + 225 Combine like terms: -225 + 225 = 0 0 + 55d = 105 + 225 55d = 105 + 225 Combine like terms: 105 + 225 = 330 55d = 330 Divide each side by '55'. d = 6 Simplifying d = 6
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