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Simplifying 2b + -1b + 4a + -3c = 0 Reorder the terms: 4a + 2b + -1b + -3c = 0 Combine like terms: 2b + -1b = 1b 4a + 1b + -3c = 0 Solving 4a + 1b + -3c = 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. 4a + 1b + -1b + -3c = 0 + -1b Combine like terms: 1b + -1b = 0 4a + 0 + -3c = 0 + -1b 4a + -3c = 0 + -1b Remove the zero: 4a + -3c = -1b Add '3c' to each side of the equation. 4a + -3c + 3c = -1b + 3c Combine like terms: -3c + 3c = 0 4a + 0 = -1b + 3c 4a = -1b + 3c Divide each side by '4'. a = -0.25b + 0.75c Simplifying a = -0.25b + 0.75c
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