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Simplifying a + a + 1 + a + 2 + a + 3 = 34 Reorder the terms: 1 + 2 + 3 + a + a + a + a = 34 Combine like terms: 1 + 2 = 3 3 + 3 + a + a + a + a = 34 Combine like terms: 3 + 3 = 6 6 + a + a + a + a = 34 Combine like terms: a + a = 2a 6 + 2a + a + a = 34 Combine like terms: 2a + a = 3a 6 + 3a + a = 34 Combine like terms: 3a + a = 4a 6 + 4a = 34 Solving 6 + 4a = 34 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 + 4a = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 34 + -6 4a = 34 + -6 Combine like terms: 34 + -6 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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