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Simplifying (5a + -6b) + -1(3a + 2b) = 0 Remove parenthesis around (5a + -6b) 5a + -6b + -1(3a + 2b) = 0 5a + -6b + (3a * -1 + 2b * -1) = 0 5a + -6b + (-3a + -2b) = 0 Reorder the terms: 5a + -3a + -6b + -2b = 0 Combine like terms: 5a + -3a = 2a 2a + -6b + -2b = 0 Combine like terms: -6b + -2b = -8b 2a + -8b = 0 Solving 2a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 2a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 2a + 0 = 0 + 8b 2a = 0 + 8b Remove the zero: 2a = 8b Divide each side by '2'. a = 4b Simplifying a = 4b
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