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Simplifying 5a + 2 = 3a + -8 Reorder the terms: 2 + 5a = 3a + -8 Reorder the terms: 2 + 5a = -8 + 3a Solving 2 + 5a = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + 5a + -3a = -8 + 3a + -3a Combine like terms: 5a + -3a = 2a 2 + 2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 2a = -8 + 0 2 + 2a = -8 Add '-2' to each side of the equation. 2 + -2 + 2a = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -8 + -2 2a = -8 + -2 Combine like terms: -8 + -2 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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