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Simplifying (3a + 2b) + -1(-2a + -1b) + (-5a + 2b) + -3a + b = 0 Remove parenthesis around (3a + 2b) 3a + 2b + -1(-2a + -1b) + (-5a + 2b) + -3a + b = 0 3a + 2b + (-2a * -1 + -1b * -1) + (-5a + 2b) + -3a + b = 0 3a + 2b + (2a + 1b) + (-5a + 2b) + -3a + b = 0 Remove parenthesis around (-5a + 2b) 3a + 2b + 2a + 1b + -5a + 2b + -3a + b = 0 Reorder the terms: 3a + 2a + -5a + -3a + 2b + 1b + 2b + b = 0 Combine like terms: 3a + 2a = 5a 5a + -5a + -3a + 2b + 1b + 2b + b = 0 Combine like terms: 5a + -5a = 0 0 + -3a + 2b + 1b + 2b + b = 0 -3a + 2b + 1b + 2b + b = 0 Combine like terms: 2b + 1b = 3b -3a + 3b + 2b + b = 0 Combine like terms: 3b + 2b = 5b -3a + 5b + b = 0 Combine like terms: 5b + b = 6b -3a + 6b = 0 Solving -3a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -3a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 -3a + 0 = 0 + -6b -3a = 0 + -6b Remove the zero: -3a = -6b Divide each side by '-3'. a = 2b Simplifying a = 2b
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