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Simplifying -5a + 14 + 7A = 3A + -8A Reorder the terms: 14 + 7A + -5a = 3A + -8A Combine like terms: 3A + -8A = -5A 14 + 7A + -5a = -5A Solving 14 + 7A + -5a = -5A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '5A' to each side of the equation. 14 + 7A + 5A + -5a = -5A + 5A Combine like terms: 7A + 5A = 12A 14 + 12A + -5a = -5A + 5A Combine like terms: -5A + 5A = 0 14 + 12A + -5a = 0 Add '-14' to each side of the equation. 14 + 12A + -14 + -5a = 0 + -14 Reorder the terms: 14 + -14 + 12A + -5a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12A + -5a = 0 + -14 12A + -5a = 0 + -14 Combine like terms: 0 + -14 = -14 12A + -5a = -14 Add '5a' to each side of the equation. 12A + -5a + 5a = -14 + 5a Combine like terms: -5a + 5a = 0 12A + 0 = -14 + 5a 12A = -14 + 5a Divide each side by '12'. A = -1.166666667 + 0.4166666667a Simplifying A = -1.166666667 + 0.4166666667a
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