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Simplifying (3a + -1b) + -1(6a + 2b) = 0 Remove parenthesis around (3a + -1b) 3a + -1b + -1(6a + 2b) = 0 3a + -1b + (6a * -1 + 2b * -1) = 0 3a + -1b + (-6a + -2b) = 0 Reorder the terms: 3a + -6a + -1b + -2b = 0 Combine like terms: 3a + -6a = -3a -3a + -1b + -2b = 0 Combine like terms: -1b + -2b = -3b -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 = -1b Simplifying a = -1b
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