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Simplifying (5a + -1) + (4a + -8) = (3a + 14) Reorder the terms: (-1 + 5a) + (4a + -8) = (3a + 14) Remove parenthesis around (-1 + 5a) -1 + 5a + (4a + -8) = (3a + 14) Reorder the terms: -1 + 5a + (-8 + 4a) = (3a + 14) Remove parenthesis around (-8 + 4a) -1 + 5a + -8 + 4a = (3a + 14) Reorder the terms: -1 + -8 + 5a + 4a = (3a + 14) Combine like terms: -1 + -8 = -9 -9 + 5a + 4a = (3a + 14) Combine like terms: 5a + 4a = 9a -9 + 9a = (3a + 14) Reorder the terms: -9 + 9a = (14 + 3a) Remove parenthesis around (14 + 3a) -9 + 9a = 14 + 3a Solving -9 + 9a = 14 + 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. -9 + 9a + -3a = 14 + 3a + -3a Combine like terms: 9a + -3a = 6a -9 + 6a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + 6a = 14 + 0 -9 + 6a = 14 Add '9' to each side of the equation. -9 + 9 + 6a = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 6a = 14 + 9 6a = 14 + 9 Combine like terms: 14 + 9 = 23 6a = 23 Divide each side by '6'. a = 3.833333333 Simplifying a = 3.833333333
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