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Simplifying a + b + c + d = 5c Solving a + b + c + d = 5c 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 + -1b + d = -1b + 5c Reorder the terms: a + b + -1b + c + d = -1b + 5c Combine like terms: b + -1b = 0 a + 0 + c + d = -1b + 5c a + c + d = -1b + 5c Add '-1c' to each side of the equation. a + c + -1c + d = -1b + 5c + -1c Combine like terms: c + -1c = 0 a + 0 + d = -1b + 5c + -1c a + d = -1b + 5c + -1c Combine like terms: 5c + -1c = 4c a + d = -1b + 4c Add '-1d' to each side of the equation. a + d + -1d = -1b + 4c + -1d Combine like terms: d + -1d = 0 a + 0 = -1b + 4c + -1d a = -1b + 4c + -1d Simplifying a = -1b + 4c + -1d
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