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Simplifying 5a + 1 = 2a + -2 Reorder the terms: 1 + 5a = 2a + -2 Reorder the terms: 1 + 5a = -2 + 2a Solving 1 + 5a = -2 + 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. 1 + 5a + -2a = -2 + 2a + -2a Combine like terms: 5a + -2a = 3a 1 + 3a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 3a = -2 + 0 1 + 3a = -2 Add '-1' to each side of the equation. 1 + -1 + 3a = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = -2 + -1 3a = -2 + -1 Combine like terms: -2 + -1 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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