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Simplifying (6a + -9) = (3a + 12) Reorder the terms: (-9 + 6a) = (3a + 12) Remove parenthesis around (-9 + 6a) -9 + 6a = (3a + 12) Reorder the terms: -9 + 6a = (12 + 3a) Remove parenthesis around (12 + 3a) -9 + 6a = 12 + 3a Solving -9 + 6a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -9 + 6a + -3a = 12 + 3a + -3a Combine like terms: 6a + -3a = 3a -9 + 3a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + 3a = 12 + 0 -9 + 3a = 12 Add '9' to each side of the equation. -9 + 9 + 3a = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = 12 + 9 3a = 12 + 9 Combine like terms: 12 + 9 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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