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Simplifying 3a + 4b + -1c + 2d = -6 Solving 3a + 4b + -1c + 2d = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 3a + 4b + -1c + -4b + 2d = -6 + -4b Reorder the terms: 3a + 4b + -4b + -1c + 2d = -6 + -4b Combine like terms: 4b + -4b = 0 3a + 0 + -1c + 2d = -6 + -4b 3a + -1c + 2d = -6 + -4b Add 'c' to each side of the equation. 3a + -1c + c + 2d = -6 + -4b + c Combine like terms: -1c + c = 0 3a + 0 + 2d = -6 + -4b + c 3a + 2d = -6 + -4b + c Add '-2d' to each side of the equation. 3a + 2d + -2d = -6 + -4b + c + -2d Combine like terms: 2d + -2d = 0 3a + 0 = -6 + -4b + c + -2d 3a = -6 + -4b + c + -2d Divide each side by '3'. a = -2 + -1.333333333b + 0.3333333333c + -0.6666666667d Simplifying a = -2 + -1.333333333b + 0.3333333333c + -0.6666666667d
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