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Simplifying -5a + 9 + 7a = 9a + -4a Reorder the terms: 9 + -5a + 7a = 9a + -4a Combine like terms: -5a + 7a = 2a 9 + 2a = 9a + -4a Combine like terms: 9a + -4a = 5a 9 + 2a = 5a Solving 9 + 2a = 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. 9 + 2a + -5a = 5a + -5a Combine like terms: 2a + -5a = -3a 9 + -3a = 5a + -5a Combine like terms: 5a + -5a = 0 9 + -3a = 0 Add '-9' to each side of the equation. 9 + -9 + -3a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = 0 + -9 -3a = 0 + -9 Combine like terms: 0 + -9 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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