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Simplifying -3b + 5c + -4b + 2a + -13a + 4(b + -2c) = 0 -3b + 5c + -4b + 2a + -13a + (b * 4 + -2c * 4) = 0 -3b + 5c + -4b + 2a + -13a + (4b + -8c) = 0 Reorder the terms: 2a + -13a + -3b + -4b + 4b + 5c + -8c = 0 Combine like terms: 2a + -13a = -11a -11a + -3b + -4b + 4b + 5c + -8c = 0 Combine like terms: -3b + -4b = -7b -11a + -7b + 4b + 5c + -8c = 0 Combine like terms: -7b + 4b = -3b -11a + -3b + 5c + -8c = 0 Combine like terms: 5c + -8c = -3c -11a + -3b + -3c = 0 Solving -11a + -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. -11a + -3b + 3b + -3c = 0 + 3b Combine like terms: -3b + 3b = 0 -11a + 0 + -3c = 0 + 3b -11a + -3c = 0 + 3b Remove the zero: -11a + -3c = 3b Add '3c' to each side of the equation. -11a + -3c + 3c = 3b + 3c Combine like terms: -3c + 3c = 0 -11a + 0 = 3b + 3c -11a = 3b + 3c Divide each side by '-11'. a = -0.2727272727b + -0.2727272727c Simplifying a = -0.2727272727b + -0.2727272727c
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