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Simplifying 5 + 3a = 8 + -5a Solving 5 + 3a = 8 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 5 + 3a + 5a = 8 + -5a + 5a Combine like terms: 3a + 5a = 8a 5 + 8a = 8 + -5a + 5a Combine like terms: -5a + 5a = 0 5 + 8a = 8 + 0 5 + 8a = 8 Add '-5' to each side of the equation. 5 + -5 + 8a = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 8 + -5 8a = 8 + -5 Combine like terms: 8 + -5 = 3 8a = 3 Divide each side by '8'. a = 0.375 Simplifying a = 0.375
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