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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 = 2a 8 + 2a = 7 + -1a + 3 Reorder the terms: 8 + 2a = 7 + 3 + -1a Combine like terms: 7 + 3 = 10 8 + 2a = 10 + -1a Solving 8 + 2a = 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 + 2a + a = 10 + -1a + a Combine like terms: 2a + a = 3a 8 + 3a = 10 + -1a + a Combine like terms: -1a + a = 0 8 + 3a = 10 + 0 8 + 3a = 10 Add '-8' to each side of the equation. 8 + -8 + 3a = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 10 + -8 3a = 10 + -8 Combine like terms: 10 + -8 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667
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