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Simplifying [b + -4[5c + a + -2b] + 2b + 3c] = 0 Reorder the terms: [b + -4[a + -2b + 5c] + 2b + 3c] = 0 [b + [a * -4 + -2b * -4 + 5c * -4] + 2b + 3c] = 0 [b + [-4a + 8b + -20c] + 2b + 3c] = 0 Reorder the terms: [-4a + b + 8b + 2b + -20c + 3c] = 0 Combine like terms: b + 8b = 9b [-4a + 9b + 2b + -20c + 3c] = 0 Combine like terms: 9b + 2b = 11b [-4a + 11b + -20c + 3c] = 0 Combine like terms: -20c + 3c = -17c [-4a + 11b + -17c] = 0 Remove brackets around [-4a + 11b + -17c] -4a + 11b + -17c = 0 Solving -4a + 11b + -17c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. -4a + 11b + -11b + -17c = 0 + -11b Combine like terms: 11b + -11b = 0 -4a + 0 + -17c = 0 + -11b -4a + -17c = 0 + -11b Remove the zero: -4a + -17c = -11b Add '17c' to each side of the equation. -4a + -17c + 17c = -11b + 17c Combine like terms: -17c + 17c = 0 -4a + 0 = -11b + 17c -4a = -11b + 17c Divide each side by '-4'. a = 2.75b + -4.25c Simplifying a = 2.75b + -4.25c
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