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Simplifying 12a + a + -10a + -1a + 1 = 15 Reorder the terms: 1 + 12a + a + -10a + -1a = 15 Combine like terms: 12a + a = 13a 1 + 13a + -10a + -1a = 15 Combine like terms: 13a + -10a = 3a 1 + 3a + -1a = 15 Combine like terms: 3a + -1a = 2a 1 + 2a = 15 Solving 1 + 2a = 15 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 + 2a = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 15 + -1 2a = 15 + -1 Combine like terms: 15 + -1 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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