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