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