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