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Simplifying a + 500 + -1d = 455 Reorder the terms: 500 + a + -1d = 455 Solving 500 + a + -1d = 455 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + a + -500 + -1d = 455 + -500 Reorder the terms: 500 + -500 + a + -1d = 455 + -500 Combine like terms: 500 + -500 = 0 0 + a + -1d = 455 + -500 a + -1d = 455 + -500 Combine like terms: 455 + -500 = -45 a + -1d = -45 Add 'd' to each side of the equation. a + -1d + d = -45 + d Combine like terms: -1d + d = 0 a + 0 = -45 + d a = -45 + d Simplifying a = -45 + d
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