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Simplifying 3a + 8 + 5a = 7 + -1a + 3 Reorder the terms: 8 + 3a + 5a = 7 + -1a + 3 Combine like terms: 3a + 5a = 8a 8 + 8a = 7 + -1a + 3 Reorder the terms: 8 + 8a = 7 + 3 + -1a Combine like terms: 7 + 3 = 10 8 + 8a = 10 + -1a Solving 8 + 8a = 10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 8 + 8a + a = 10 + -1a + a Combine like terms: 8a + a = 9a 8 + 9a = 10 + -1a + a Combine like terms: -1a + a = 0 8 + 9a = 10 + 0 8 + 9a = 10 Add '-8' to each side of the equation. 8 + -8 + 9a = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 9a = 10 + -8 9a = 10 + -8 Combine like terms: 10 + -8 = 2 9a = 2 Divide each side by '9'. a = 0.2222222222 Simplifying a = 0.2222222222
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