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