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Simplifying 7a + -17 = 5a + 1 Reorder the terms: -17 + 7a = 5a + 1 Reorder the terms: -17 + 7a = 1 + 5a Solving -17 + 7a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -17 + 7a + -5a = 1 + 5a + -5a Combine like terms: 7a + -5a = 2a -17 + 2a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -17 + 2a = 1 + 0 -17 + 2a = 1 Add '17' to each side of the equation. -17 + 17 + 2a = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 2a = 1 + 17 2a = 1 + 17 Combine like terms: 1 + 17 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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