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Simplifying 7a + 2 = 2(5 + 3a) Reorder the terms: 2 + 7a = 2(5 + 3a) 2 + 7a = (5 * 2 + 3a * 2) 2 + 7a = (10 + 6a) Solving 2 + 7a = 10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2 + 7a + -6a = 10 + 6a + -6a Combine like terms: 7a + -6a = 1a 2 + 1a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 2 + 1a = 10 + 0 2 + 1a = 10 Add '-2' to each side of the equation. 2 + -2 + 1a = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1a = 10 + -2 1a = 10 + -2 Combine like terms: 10 + -2 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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