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Simplifying -5a + 12 + 2a = 7a + -4a Reorder the terms: 12 + -5a + 2a = 7a + -4a Combine like terms: -5a + 2a = -3a 12 + -3a = 7a + -4a Combine like terms: 7a + -4a = 3a 12 + -3a = 3a Solving 12 + -3a = 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. 12 + -3a + -3a = 3a + -3a Combine like terms: -3a + -3a = -6a 12 + -6a = 3a + -3a Combine like terms: 3a + -3a = 0 12 + -6a = 0 Add '-12' to each side of the equation. 12 + -12 + -6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 0 + -12 -6a = 0 + -12 Combine like terms: 0 + -12 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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