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Simplifying 4b + 4c + -3b + 2a + -3c = 0 Reorder the terms: 2a + 4b + -3b + 4c + -3c = 0 Combine like terms: 4b + -3b = 1b 2a + 1b + 4c + -3c = 0 Combine like terms: 4c + -3c = 1c 2a + 1b + 1c = 0 Solving 2a + 1b + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + 1b + -1b + 1c = 0 + -1b Combine like terms: 1b + -1b = 0 2a + 0 + 1c = 0 + -1b 2a + 1c = 0 + -1b Remove the zero: 2a + 1c = -1b Add '-1c' to each side of the equation. 2a + 1c + -1c = -1b + -1c Combine like terms: 1c + -1c = 0 2a + 0 = -1b + -1c 2a = -1b + -1c Divide each side by '2'. a = -0.5b + -0.5c Simplifying a = -0.5b + -0.5c
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