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