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Simplifying 12a + -2b + (3c + -4a) + 5b = 0 Reorder the terms: 12a + -2b + (-4a + 3c) + 5b = 0 Remove parenthesis around (-4a + 3c) 12a + -2b + -4a + 3c + 5b = 0 Reorder the terms: 12a + -4a + -2b + 5b + 3c = 0 Combine like terms: 12a + -4a = 8a 8a + -2b + 5b + 3c = 0 Combine like terms: -2b + 5b = 3b 8a + 3b + 3c = 0 Solving 8a + 3b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 8a + 3b + -3b + 3c = 0 + -3b Combine like terms: 3b + -3b = 0 8a + 0 + 3c = 0 + -3b 8a + 3c = 0 + -3b Remove the zero: 8a + 3c = -3b Add '-3c' to each side of the equation. 8a + 3c + -3c = -3b + -3c Combine like terms: 3c + -3c = 0 8a + 0 = -3b + -3c 8a = -3b + -3c Divide each side by '8'. a = -0.375b + -0.375c Simplifying a = -0.375b + -0.375c
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