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Simplifying 10a + 3a + -5a + 1 = 9 Reorder the terms: 1 + 10a + 3a + -5a = 9 Combine like terms: 10a + 3a = 13a 1 + 13a + -5a = 9 Combine like terms: 13a + -5a = 8a 1 + 8a = 9 Solving 1 + 8a = 9 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 + -1 + 8a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8a = 9 + -1 8a = 9 + -1 Combine like terms: 9 + -1 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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