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Simplifying -5 + 12 + 3a = 9a + -7a Combine like terms: -5 + 12 = 7 7 + 3a = 9a + -7a Combine like terms: 9a + -7a = 2a 7 + 3a = 2a Solving 7 + 3a = 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. 7 + 3a + -2a = 2a + -2a Combine like terms: 3a + -2a = 1a 7 + 1a = 2a + -2a Combine like terms: 2a + -2a = 0 7 + 1a = 0 Add '-7' to each side of the equation. 7 + -7 + 1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 0 + -7 1a = 0 + -7 Combine like terms: 0 + -7 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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