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Simplifying 2a + 3 + 7a = 5a + 10 + 3 + 2 Reorder the terms: 3 + 2a + 7a = 5a + 10 + 3 + 2 Combine like terms: 2a + 7a = 9a 3 + 9a = 5a + 10 + 3 + 2 Reorder the terms: 3 + 9a = 10 + 3 + 2 + 5a Combine like terms: 10 + 3 = 13 3 + 9a = 13 + 2 + 5a Combine like terms: 13 + 2 = 15 3 + 9a = 15 + 5a Solving 3 + 9a = 15 + 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 + 9a + -5a = 15 + 5a + -5a Combine like terms: 9a + -5a = 4a 3 + 4a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + 4a = 15 + 0 3 + 4a = 15 Add '-3' to each side of the equation. 3 + -3 + 4a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 15 + -3 4a = 15 + -3 Combine like terms: 15 + -3 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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