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