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Simplifying 6a + 14 = 78 + -2a Reorder the terms: 14 + 6a = 78 + -2a Solving 14 + 6a = 78 + -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 + 6a + 2a = 78 + -2a + 2a Combine like terms: 6a + 2a = 8a 14 + 8a = 78 + -2a + 2a Combine like terms: -2a + 2a = 0 14 + 8a = 78 + 0 14 + 8a = 78 Add '-14' to each side of the equation. 14 + -14 + 8a = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 8a = 78 + -14 8a = 78 + -14 Combine like terms: 78 + -14 = 64 8a = 64 Divide each side by '8'. a = 8 Simplifying a = 8
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