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Simplifying 5a + -1(2a + -1(b + -1c) + 2b) = 0 5a + -1(2a + (b * -1 + -1c * -1) + 2b) = 0 5a + -1(2a + (-1b + 1c) + 2b) = 0 Reorder the terms: 5a + -1(2a + -1b + 2b + 1c) = 0 Combine like terms: -1b + 2b = 1b 5a + -1(2a + 1b + 1c) = 0 5a + (2a * -1 + 1b * -1 + 1c * -1) = 0 5a + (-2a + -1b + -1c) = 0 Combine like terms: 5a + -2a = 3a 3a + -1b + -1c = 0 Solving 3a + -1b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 3a + -1b + b + -1c = 0 + b Combine like terms: -1b + b = 0 3a + 0 + -1c = 0 + b 3a + -1c = 0 + b Remove the zero: 3a + -1c = b Add 'c' to each side of the equation. 3a + -1c + c = b + c Combine like terms: -1c + c = 0 3a + 0 = b + c 3a = b + c Divide each side by '3'. a = 0.3333333333b + 0.3333333333c Simplifying a = 0.3333333333b + 0.3333333333c
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