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Simplifying -2a + 12 + 5a = 9a + -3a Reorder the terms: 12 + -2a + 5a = 9a + -3a Combine like terms: -2a + 5a = 3a 12 + 3a = 9a + -3a Combine like terms: 9a + -3a = 6a 12 + 3a = 6a Solving 12 + 3a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 3a + -6a = 6a + -6a Combine like terms: 3a + -6a = -3a 12 + -3a = 6a + -6a Combine like terms: 6a + -6a = 0 12 + -3a = 0 Add '-12' to each side of the equation. 12 + -12 + -3a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 0 + -12 -3a = 0 + -12 Combine like terms: 0 + -12 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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