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Simplifying a + b + -1c + d = b + c + d Add '-1b' to each side of the equation. a + b + -1c + -1b + d = b + c + -1b + d Reorder the terms: a + b + -1b + -1c + d = b + c + -1b + d Combine like terms: b + -1b = 0 a + 0 + -1c + d = b + c + -1b + d a + -1c + d = b + c + -1b + d Reorder the terms: a + -1c + d = b + -1b + c + d Combine like terms: b + -1b = 0 a + -1c + d = 0 + c + d a + -1c + d = c + d Add '-1d' to each side of the equation. a + -1c + d + -1d = c + d + -1d Combine like terms: d + -1d = 0 a + -1c + 0 = c + d + -1d a + -1c = c + d + -1d Combine like terms: d + -1d = 0 a + -1c = c + 0 a + -1c = c Solving a + -1c = c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. a + -1c + c = c + c Combine like terms: -1c + c = 0 a + 0 = c + c a = c + c Combine like terms: c + c = 2c a = 2c Simplifying a = 2c
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