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Simplifying 5a + a + 2a + 9 + -6a + 33 = 0 Reorder the terms: 9 + 33 + 5a + a + 2a + -6a = 0 Combine like terms: 9 + 33 = 42 42 + 5a + a + 2a + -6a = 0 Combine like terms: 5a + a = 6a 42 + 6a + 2a + -6a = 0 Combine like terms: 6a + 2a = 8a 42 + 8a + -6a = 0 Combine like terms: 8a + -6a = 2a 42 + 2a = 0 Solving 42 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 2a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 2a = 0 + -42 2a = 0 + -42 Combine like terms: 0 + -42 = -42 2a = -42 Divide each side by '2'. a = -21 Simplifying a = -21
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