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Simplifying -5a + 14 + 2a = 8a + -4a Reorder the terms: 14 + -5a + 2a = 8a + -4a Combine like terms: -5a + 2a = -3a 14 + -3a = 8a + -4a Combine like terms: 8a + -4a = 4a 14 + -3a = 4a Solving 14 + -3a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + -3a + -4a = 4a + -4a Combine like terms: -3a + -4a = -7a 14 + -7a = 4a + -4a Combine like terms: 4a + -4a = 0 14 + -7a = 0 Add '-14' to each side of the equation. 14 + -14 + -7a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7a = 0 + -14 -7a = 0 + -14 Combine like terms: 0 + -14 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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