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Simplifying 3a + -2b + c + -1d = 2 Solving 3a + -2b + c + -1d = 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. 3a + -2b + c + 2b + -1d = 2 + 2b Reorder the terms: 3a + -2b + 2b + c + -1d = 2 + 2b Combine like terms: -2b + 2b = 0 3a + 0 + c + -1d = 2 + 2b 3a + c + -1d = 2 + 2b Add '-1c' to each side of the equation. 3a + c + -1c + -1d = 2 + 2b + -1c Combine like terms: c + -1c = 0 3a + 0 + -1d = 2 + 2b + -1c 3a + -1d = 2 + 2b + -1c Add 'd' to each side of the equation. 3a + -1d + d = 2 + 2b + -1c + d Combine like terms: -1d + d = 0 3a + 0 = 2 + 2b + -1c + d 3a = 2 + 2b + -1c + d Divide each side by '3'. a = 0.6666666667 + 0.6666666667b + -0.3333333333c + 0.3333333333d Simplifying a = 0.6666666667 + 0.6666666667b + -0.3333333333c + 0.3333333333d
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