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Simplifying -4(9a + -1b) + 3 + (5a + 2b) = 0 (9a * -4 + -1b * -4) + 3 + (5a + 2b) = 0 (-36a + 4b) + 3 + (5a + 2b) = 0 Remove parenthesis around (5a + 2b) -36a + 4b + 3 + 5a + 2b = 0 Reorder the terms: 3 + -36a + 5a + 4b + 2b = 0 Combine like terms: -36a + 5a = -31a 3 + -31a + 4b + 2b = 0 Combine like terms: 4b + 2b = 6b 3 + -31a + 6b = 0 Solving 3 + -31a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -31a + -3 + 6b = 0 + -3 Reorder the terms: 3 + -3 + -31a + 6b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -31a + 6b = 0 + -3 -31a + 6b = 0 + -3 Combine like terms: 0 + -3 = -3 -31a + 6b = -3 Add '-6b' to each side of the equation. -31a + 6b + -6b = -3 + -6b Combine like terms: 6b + -6b = 0 -31a + 0 = -3 + -6b -31a = -3 + -6b Divide each side by '-31'. a = 0.09677419355 + 0.1935483871b Simplifying a = 0.09677419355 + 0.1935483871b
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