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Simplifying (3a + 5b) + -1(a + 2b) = 0 Remove parenthesis around (3a + 5b) 3a + 5b + -1(a + 2b) = 0 3a + 5b + (a * -1 + 2b * -1) = 0 3a + 5b + (-1a + -2b) = 0 Reorder the terms: 3a + -1a + 5b + -2b = 0 Combine like terms: 3a + -1a = 2a 2a + 5b + -2b = 0 Combine like terms: 5b + -2b = 3b 2a + 3b = 0 Solving 2a + 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. 2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 0 + -3b 2a = 0 + -3b Remove the zero: 2a = -3b Divide each side by '2'. a = -1.5b Simplifying a = -1.5b
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