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Simplifying -2a + 12 + 4a = 7a + -9a Reorder the terms: 12 + -2a + 4a = 7a + -9a Combine like terms: -2a + 4a = 2a 12 + 2a = 7a + -9a Combine like terms: 7a + -9a = -2a 12 + 2a = -2a Solving 12 + 2a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 12 + 2a + 2a = -2a + 2a Combine like terms: 2a + 2a = 4a 12 + 4a = -2a + 2a Combine like terms: -2a + 2a = 0 12 + 4a = 0 Add '-12' to each side of the equation. 12 + -12 + 4a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 0 + -12 4a = 0 + -12 Combine like terms: 0 + -12 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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