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Simplifying a + b + c + d + e = 5ab + cd + e Add '-1e' to each side of the equation. a + b + c + d + e + -1e = 5ab + cd + e + -1e Combine like terms: e + -1e = 0 a + b + c + d + 0 = 5ab + cd + e + -1e a + b + c + d = 5ab + cd + e + -1e Combine like terms: e + -1e = 0 a + b + c + d = 5ab + cd + 0 a + b + c + d = 5ab + cd Solving a + b + c + d = 5ab + cd Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5ab' to each side of the equation. a + b + c + -5ab + d = 5ab + -5ab + cd Reorder the terms: a + -5ab + b + c + d = 5ab + -5ab + cd Combine like terms: 5ab + -5ab = 0 a + -5ab + b + c + d = 0 + cd a + -5ab + b + c + d = cd Add '-1b' to each side of the equation. a + -5ab + b + c + -1b + d = -1b + cd Reorder the terms: a + -5ab + b + -1b + c + d = -1b + cd Combine like terms: b + -1b = 0 a + -5ab + 0 + c + d = -1b + cd a + -5ab + c + d = -1b + cd Add '-1c' to each side of the equation. a + -5ab + c + -1c + d = -1b + -1c + cd Combine like terms: c + -1c = 0 a + -5ab + 0 + d = -1b + -1c + cd a + -5ab + d = -1b + -1c + cd Add '-1d' to each side of the equation. a + -5ab + d + -1d = -1b + -1c + cd + -1d Combine like terms: d + -1d = 0 a + -5ab + 0 = -1b + -1c + cd + -1d a + -5ab = -1b + -1c + cd + -1d Reorder the terms: a + -5ab + b + c + -1cd + d = -1b + b + -1c + c + cd + -1cd + -1d + d Combine like terms: -1b + b = 0 a + -5ab + b + c + -1cd + d = 0 + -1c + c + cd + -1cd + -1d + d a + -5ab + b + c + -1cd + d = -1c + c + cd + -1cd + -1d + d Combine like terms: -1c + c = 0 a + -5ab + b + c + -1cd + d = 0 + cd + -1cd + -1d + d a + -5ab + b + c + -1cd + d = cd + -1cd + -1d + d Combine like terms: cd + -1cd = 0 a + -5ab + b + c + -1cd + d = 0 + -1d + d a + -5ab + b + c + -1cd + d = -1d + d Combine like terms: -1d + d = 0 a + -5ab + b + c + -1cd + d = 0 The solution to this equation could not be determined.
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