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Simplifying 2a + 3 = 5a + 9 Reorder the terms: 3 + 2a = 5a + 9 Reorder the terms: 3 + 2a = 9 + 5a Solving 3 + 2a = 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. 3 + 2a + -5a = 9 + 5a + -5a Combine like terms: 2a + -5a = -3a 3 + -3a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -3a = 9 + 0 3 + -3a = 9 Add '-3' to each side of the equation. 3 + -3 + -3a = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = 9 + -3 -3a = 9 + -3 Combine like terms: 9 + -3 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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