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Simplifying a + b + c + d + e = 10000 Solving a + b + c + d + e = 10000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + c + d + -1b + e = 10000 + -1b Reorder the terms: a + b + -1b + c + d + e = 10000 + -1b Combine like terms: b + -1b = 0 a + 0 + c + d + e = 10000 + -1b a + c + d + e = 10000 + -1b Add '-1c' to each side of the equation. a + c + d + -1c + e = 10000 + -1b + -1c Reorder the terms: a + c + -1c + d + e = 10000 + -1b + -1c Combine like terms: c + -1c = 0 a + 0 + d + e = 10000 + -1b + -1c a + d + e = 10000 + -1b + -1c Add '-1d' to each side of the equation. a + d + -1d + e = 10000 + -1b + -1c + -1d Combine like terms: d + -1d = 0 a + 0 + e = 10000 + -1b + -1c + -1d a + e = 10000 + -1b + -1c + -1d Add '-1e' to each side of the equation. a + e + -1e = 10000 + -1b + -1c + -1d + -1e Combine like terms: e + -1e = 0 a + 0 = 10000 + -1b + -1c + -1d + -1e a = 10000 + -1b + -1c + -1d + -1e Simplifying a = 10000 + -1b + -1c + -1d + -1e
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