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Simplifying 1 + 7a = 5a + 35 Reorder the terms: 1 + 7a = 35 + 5a Solving 1 + 7a = 35 + 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 = 35 + 5a + -5a Combine like terms: 7a + -5a = 2a 1 + 2a = 35 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + 2a = 35 + 0 1 + 2a = 35 Add '-1' to each side of the equation. 1 + -1 + 2a = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 35 + -1 2a = 35 + -1 Combine like terms: 35 + -1 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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