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Simplifying 7a + 8 = 6a + 12 Reorder the terms: 8 + 7a = 6a + 12 Reorder the terms: 8 + 7a = 12 + 6a Solving 8 + 7a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + 7a + -6a = 12 + 6a + -6a Combine like terms: 7a + -6a = 1a 8 + 1a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + 1a = 12 + 0 8 + 1a = 12 Add '-8' to each side of the equation. 8 + -8 + 1a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 12 + -8 1a = 12 + -8 Combine like terms: 12 + -8 = 4 1a = 4 Divide each side by '1'. a = 4 Simplifying a = 4
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