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Simplifying a + -12 = 6 + -8a Reorder the terms: -12 + a = 6 + -8a Solving -12 + a = 6 + -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. -12 + a + 8a = 6 + -8a + 8a Combine like terms: a + 8a = 9a -12 + 9a = 6 + -8a + 8a Combine like terms: -8a + 8a = 0 -12 + 9a = 6 + 0 -12 + 9a = 6 Add '12' to each side of the equation. -12 + 12 + 9a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = 6 + 12 9a = 6 + 12 Combine like terms: 6 + 12 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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