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Simplifying 2a + 4c + -6a + 2c + b = 0 Reorder the terms: 2a + -6a + b + 4c + 2c = 0 Combine like terms: 2a + -6a = -4a -4a + b + 4c + 2c = 0 Combine like terms: 4c + 2c = 6c -4a + b + 6c = 0 Solving -4a + b + 6c = 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 + b + -1b + 6c = 0 + -1b Combine like terms: b + -1b = 0 -4a + 0 + 6c = 0 + -1b -4a + 6c = 0 + -1b Remove the zero: -4a + 6c = -1b Add '-6c' to each side of the equation. -4a + 6c + -6c = -1b + -6c Combine like terms: 6c + -6c = 0 -4a + 0 = -1b + -6c -4a = -1b + -6c Divide each side by '-4'. a = 0.25b + 1.5c Simplifying a = 0.25b + 1.5c
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