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Simplifying 5a + -14 = -5a + 8a Reorder the terms: -14 + 5a = -5a + 8a Combine like terms: -5a + 8a = 3a -14 + 5a = 3a Solving -14 + 5a = 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. -14 + 5a + -3a = 3a + -3a Combine like terms: 5a + -3a = 2a -14 + 2a = 3a + -3a Combine like terms: 3a + -3a = 0 -14 + 2a = 0 Add '14' to each side of the equation. -14 + 14 + 2a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = 0 + 14 2a = 0 + 14 Combine like terms: 0 + 14 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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