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Simplifying (2a + b + c) + -1(b + 7a + -1c) = 0 Remove parenthesis around (2a + b + c) 2a + b + c + -1(b + 7a + -1c) = 0 Reorder the terms: 2a + b + c + -1(7a + b + -1c) = 0 2a + b + c + (7a * -1 + b * -1 + -1c * -1) = 0 2a + b + c + (-7a + -1b + 1c) = 0 Reorder the terms: 2a + -7a + b + -1b + c + 1c = 0 Combine like terms: 2a + -7a = -5a -5a + b + -1b + c + 1c = 0 Combine like terms: b + -1b = 0 -5a + 0 + c + 1c = 0 -5a + c + 1c = 0 Combine like terms: c + 1c = 2c -5a + 2c = 0 Solving -5a + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. -5a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 -5a + 0 = 0 + -2c -5a = 0 + -2c Remove the zero: -5a = -2c Divide each side by '-5'. a = 0.4c Simplifying a = 0.4c
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