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Simplifying 3a + 2 = 5a + -9 Reorder the terms: 2 + 3a = 5a + -9 Reorder the terms: 2 + 3a = -9 + 5a Solving 2 + 3a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2 + 3a + -5a = -9 + 5a + -5a Combine like terms: 3a + -5a = -2a 2 + -2a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + -2a = -9 + 0 2 + -2a = -9 Add '-2' to each side of the equation. 2 + -2 + -2a = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = -9 + -2 -2a = -9 + -2 Combine like terms: -9 + -2 = -11 -2a = -11 Divide each side by '-2'. a = 5.5 Simplifying a = 5.5
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