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Simplifying -6a + 6 = -9a + 12 Reorder the terms: 6 + -6a = -9a + 12 Reorder the terms: 6 + -6a = 12 + -9a Solving 6 + -6a = 12 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 6 + -6a + 9a = 12 + -9a + 9a Combine like terms: -6a + 9a = 3a 6 + 3a = 12 + -9a + 9a Combine like terms: -9a + 9a = 0 6 + 3a = 12 + 0 6 + 3a = 12 Add '-6' to each side of the equation. 6 + -6 + 3a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 12 + -6 3a = 12 + -6 Combine like terms: 12 + -6 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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