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Simplifying -2a + 14 + 6a = 4a + -7a Reorder the terms: 14 + -2a + 6a = 4a + -7a Combine like terms: -2a + 6a = 4a 14 + 4a = 4a + -7a Combine like terms: 4a + -7a = -3a 14 + 4a = -3a Solving 14 + 4a = -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 + 4a + 3a = -3a + 3a Combine like terms: 4a + 3a = 7a 14 + 7a = -3a + 3a Combine like terms: -3a + 3a = 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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