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Simplifying 5a + 2 = 8 + -3a 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 = 8a 2 + 8a = 8 + -3a + 3a Combine like terms: -3a + 3a = 0 2 + 8a = 8 + 0 2 + 8a = 8 Add '-2' to each side of the equation. 2 + -2 + 8a = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 8a = 8 + -2 8a = 8 + -2 Combine like terms: 8 + -2 = 6 8a = 6 Divide each side by '8'. a = 0.75 Simplifying a = 0.75
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