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Simplifying 7a + 2 = 3a + 5 + 2a Reorder the terms: 2 + 7a = 3a + 5 + 2a Reorder the terms: 2 + 7a = 5 + 3a + 2a Combine like terms: 3a + 2a = 5a 2 + 7a = 5 + 5a Solving 2 + 7a = 5 + 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. 2 + 7a + -5a = 5 + 5a + -5a Combine like terms: 7a + -5a = 2a 2 + 2a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + 2a = 5 + 0 2 + 2a = 5 Add '-2' to each side of the equation. 2 + -2 + 2a = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 5 + -2 2a = 5 + -2 Combine like terms: 5 + -2 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5
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