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Simplifying 5a + -3 = 8 + -1a + 6 Reorder the terms: -3 + 5a = 8 + -1a + 6 Reorder the terms: -3 + 5a = 8 + 6 + -1a Combine like terms: 8 + 6 = 14 -3 + 5a = 14 + -1a Solving -3 + 5a = 14 + -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. -3 + 5a + a = 14 + -1a + a Combine like terms: 5a + a = 6a -3 + 6a = 14 + -1a + a Combine like terms: -1a + a = 0 -3 + 6a = 14 + 0 -3 + 6a = 14 Add '3' to each side of the equation. -3 + 3 + 6a = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 6a = 14 + 3 6a = 14 + 3 Combine like terms: 14 + 3 = 17 6a = 17 Divide each side by '6'. a = 2.833333333 Simplifying a = 2.833333333
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