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Simplifying 8a + -1 = 7a + 17 + -1a Reorder the terms: -1 + 8a = 7a + 17 + -1a Reorder the terms: -1 + 8a = 17 + 7a + -1a Combine like terms: 7a + -1a = 6a -1 + 8a = 17 + 6a Solving -1 + 8a = 17 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1 + 8a + -6a = 17 + 6a + -6a Combine like terms: 8a + -6a = 2a -1 + 2a = 17 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + 2a = 17 + 0 -1 + 2a = 17 Add '1' to each side of the equation. -1 + 1 + 2a = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 17 + 1 2a = 17 + 1 Combine like terms: 17 + 1 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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