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Simplifying 3a + -4b + -1c = 12 Solving 3a + -4b + -1c = 12 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 + 4b + -1c = 12 + 4b Combine like terms: -4b + 4b = 0 3a + 0 + -1c = 12 + 4b 3a + -1c = 12 + 4b Add 'c' to each side of the equation. 3a + -1c + c = 12 + 4b + c Combine like terms: -1c + c = 0 3a + 0 = 12 + 4b + c 3a = 12 + 4b + c Divide each side by '3'. a = 4 + 1.333333333b + 0.3333333333c Simplifying a = 4 + 1.333333333b + 0.3333333333c
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