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Simplifying -14 + 7a = 5a + -6 Reorder the terms: -14 + 7a = -6 + 5a Solving -14 + 7a = -6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -14 + 7a + -5a = -6 + 5a + -5a Combine like terms: 7a + -5a = 2a -14 + 2a = -6 + 5a + -5a Combine like terms: 5a + -5a = 0 -14 + 2a = -6 + 0 -14 + 2a = -6 Add '14' to each side of the equation. -14 + 14 + 2a = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = -6 + 14 2a = -6 + 14 Combine like terms: -6 + 14 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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