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Simplifying a + a + 7 + 3a + a + -1 = 42 Reorder the terms: 7 + -1 + a + a + 3a + a = 42 Combine like terms: 7 + -1 = 6 6 + a + a + 3a + a = 42 Combine like terms: a + a = 2a 6 + 2a + 3a + a = 42 Combine like terms: 2a + 3a = 5a 6 + 5a + a = 42 Combine like terms: 5a + a = 6a 6 + 6a = 42 Solving 6 + 6a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6a = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = 42 + -6 6a = 42 + -6 Combine like terms: 42 + -6 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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