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Simplifying -2a + 3 + 3a + -2 = 5a + 2a + -7a + 9 Reorder the terms: 3 + -2 + -2a + 3a = 5a + 2a + -7a + 9 Combine like terms: 3 + -2 = 1 1 + -2a + 3a = 5a + 2a + -7a + 9 Combine like terms: -2a + 3a = 1a 1 + 1a = 5a + 2a + -7a + 9 Reorder the terms: 1 + 1a = 9 + 5a + 2a + -7a Combine like terms: 5a + 2a = 7a 1 + 1a = 9 + 7a + -7a Combine like terms: 7a + -7a = 0 1 + 1a = 9 + 0 1 + 1a = 9 Solving 1 + 1a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 9 + -1 1a = 9 + -1 Combine like terms: 9 + -1 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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