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Simplifying 6a + 2a + 12 = 7 + 6a + 3 Reorder the terms: 12 + 6a + 2a = 7 + 6a + 3 Combine like terms: 6a + 2a = 8a 12 + 8a = 7 + 6a + 3 Reorder the terms: 12 + 8a = 7 + 3 + 6a Combine like terms: 7 + 3 = 10 12 + 8a = 10 + 6a Solving 12 + 8a = 10 + 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. 12 + 8a + -6a = 10 + 6a + -6a Combine like terms: 8a + -6a = 2a 12 + 2a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 2a = 10 + 0 12 + 2a = 10 Add '-12' to each side of the equation. 12 + -12 + 2a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 10 + -12 2a = 10 + -12 Combine like terms: 10 + -12 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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