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Simplifying 7a + 3 + -2a = 6 + 2a + 9 Reorder the terms: 3 + 7a + -2a = 6 + 2a + 9 Combine like terms: 7a + -2a = 5a 3 + 5a = 6 + 2a + 9 Reorder the terms: 3 + 5a = 6 + 9 + 2a Combine like terms: 6 + 9 = 15 3 + 5a = 15 + 2a Solving 3 + 5a = 15 + 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. 3 + 5a + -2a = 15 + 2a + -2a Combine like terms: 5a + -2a = 3a 3 + 3a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + 3a = 15 + 0 3 + 3a = 15 Add '-3' to each side of the equation. 3 + -3 + 3a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3a = 15 + -3 3a = 15 + -3 Combine like terms: 15 + -3 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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