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Simplifying 7a + -1 = 5a + 1 Reorder the terms: -1 + 7a = 5a + 1 Reorder the terms: -1 + 7a = 1 + 5a Solving -1 + 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. -1 + 7a + -5a = 1 + 5a + -5a Combine like terms: 7a + -5a = 2a -1 + 2a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + 2a = 1 + 0 -1 + 2a = 1 Add '1' to each side of the equation. -1 + 1 + 2a = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 1 + 1 2a = 1 + 1 Combine like terms: 1 + 1 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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