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Simplifying 3a + 6 + -7a = 12 + -8a + 2 Reorder the terms: 6 + 3a + -7a = 12 + -8a + 2 Combine like terms: 3a + -7a = -4a 6 + -4a = 12 + -8a + 2 Reorder the terms: 6 + -4a = 12 + 2 + -8a Combine like terms: 12 + 2 = 14 6 + -4a = 14 + -8a Solving 6 + -4a = 14 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 6 + -4a + 8a = 14 + -8a + 8a Combine like terms: -4a + 8a = 4a 6 + 4a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 6 + 4a = 14 + 0 6 + 4a = 14 Add '-6' to each side of the equation. 6 + -6 + 4a = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 14 + -6 4a = 14 + -6 Combine like terms: 14 + -6 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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