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Simplifying d + -1(525 + -1d) + (500 + -1d) = 455 d + (525 * -1 + -1d * -1) + (500 + -1d) = 455 d + (-525 + 1d) + (500 + -1d) = 455 Remove parenthesis around (500 + -1d) d + -525 + 1d + 500 + -1d = 455 Reorder the terms: -525 + 500 + d + 1d + -1d = 455 Combine like terms: -525 + 500 = -25 -25 + d + 1d + -1d = 455 Combine like terms: d + 1d = 2d -25 + 2d + -1d = 455 Combine like terms: 2d + -1d = 1d -25 + 1d = 455 Solving -25 + 1d = 455 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1d = 455 + 25 Combine like terms: -25 + 25 = 0 0 + 1d = 455 + 25 1d = 455 + 25 Combine like terms: 455 + 25 = 480 1d = 480 Divide each side by '1'. d = 480 Simplifying d = 480
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