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Simplifying 14 + 8a + -8 + 5a = 4a + -8 + 7a Reorder the terms: 14 + -8 + 8a + 5a = 4a + -8 + 7a Combine like terms: 14 + -8 = 6 6 + 8a + 5a = 4a + -8 + 7a Combine like terms: 8a + 5a = 13a 6 + 13a = 4a + -8 + 7a Reorder the terms: 6 + 13a = -8 + 4a + 7a Combine like terms: 4a + 7a = 11a 6 + 13a = -8 + 11a Solving 6 + 13a = -8 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 6 + 13a + -11a = -8 + 11a + -11a Combine like terms: 13a + -11a = 2a 6 + 2a = -8 + 11a + -11a Combine like terms: 11a + -11a = 0 6 + 2a = -8 + 0 6 + 2a = -8 Add '-6' to each side of the equation. 6 + -6 + 2a = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = -8 + -6 2a = -8 + -6 Combine like terms: -8 + -6 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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