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Simplifying [a + (3b + 1)] = 0 Reorder the terms: [a + (1 + 3b)] = 0 Remove parenthesis around (1 + 3b) [a + 1 + 3b] = 0 Reorder the terms: [1 + a + 3b] = 0 Remove brackets around [1 + a + 3b] 1 + a + 3b = 0 Solving 1 + a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + a + -1 + 3b = 0 + -1 Reorder the terms: 1 + -1 + a + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a + 3b = 0 + -1 a + 3b = 0 + -1 Combine like terms: 0 + -1 = -1 a + 3b = -1 Add '-3b' to each side of the equation. a + 3b + -3b = -1 + -3b Combine like terms: 3b + -3b = 0 a + 0 = -1 + -3b a = -1 + -3b Simplifying a = -1 + -3b
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