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Simplifying (3 + 3a + 7 + 47a) + [5a + (2a + 3)] = 0 Reorder the terms: (3 + 7 + 3a + 47a) + [5a + (2a + 3)] = 0 Combine like terms: 3 + 7 = 10 (10 + 3a + 47a) + [5a + (2a + 3)] = 0 Combine like terms: 3a + 47a = 50a (10 + 50a) + [5a + (2a + 3)] = 0 Remove parenthesis around (10 + 50a) 10 + 50a + [5a + (2a + 3)] = 0 Reorder the terms: 10 + 50a + [5a + (3 + 2a)] = 0 Remove parenthesis around (3 + 2a) 10 + 50a + [5a + 3 + 2a] = 0 Reorder the terms: 10 + 50a + [3 + 5a + 2a] = 0 Combine like terms: 5a + 2a = 7a 10 + 50a + [3 + 7a] = 0 Remove brackets around [3 + 7a] 10 + 50a + 3 + 7a = 0 Reorder the terms: 10 + 3 + 50a + 7a = 0 Combine like terms: 10 + 3 = 13 13 + 50a + 7a = 0 Combine like terms: 50a + 7a = 57a 13 + 57a = 0 Solving 13 + 57a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 57a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 57a = 0 + -13 57a = 0 + -13 Combine like terms: 0 + -13 = -13 57a = -13 Divide each side by '57'. a = -0.2280701754 Simplifying a = -0.2280701754
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