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Simplifying 5a + -8 = 3a + 2 Reorder the terms: -8 + 5a = 3a + 2 Reorder the terms: -8 + 5a = 2 + 3a Solving -8 + 5a = 2 + 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. -8 + 5a + -3a = 2 + 3a + -3a Combine like terms: 5a + -3a = 2a -8 + 2a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 2a = 2 + 0 -8 + 2a = 2 Add '8' to each side of the equation. -8 + 8 + 2a = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 2 + 8 2a = 2 + 8 Combine like terms: 2 + 8 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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