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Simplifying a + a + 1 + a + 2 + a + 3 + a + 4 = 90 Reorder the terms: 1 + 2 + 3 + 4 + a + a + a + a + a = 90 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + a + a + a + a + a = 90 Combine like terms: 3 + 3 = 6 6 + 4 + a + a + a + a + a = 90 Combine like terms: 6 + 4 = 10 10 + a + a + a + a + a = 90 Combine like terms: a + a = 2a 10 + 2a + a + a + a = 90 Combine like terms: 2a + a = 3a 10 + 3a + a + a = 90 Combine like terms: 3a + a = 4a 10 + 4a + a = 90 Combine like terms: 4a + a = 5a 10 + 5a = 90 Solving 10 + 5a = 90 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5a = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 90 + -10 5a = 90 + -10 Combine like terms: 90 + -10 = 80 5a = 80 Divide each side by '5'. a = 16 Simplifying a = 16
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