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Simplifying (4a + 3b) + (-2a + 5b) = 0 Remove parenthesis around (4a + 3b) 4a + 3b + (-2a + 5b) = 0 Remove parenthesis around (-2a + 5b) 4a + 3b + -2a + 5b = 0 Reorder the terms: 4a + -2a + 3b + 5b = 0 Combine like terms: 4a + -2a = 2a 2a + 3b + 5b = 0 Combine like terms: 3b + 5b = 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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