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