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Simplifying 7a + 2 = 2(2a + 13) Reorder the terms: 2 + 7a = 2(2a + 13) Reorder the terms: 2 + 7a = 2(13 + 2a) 2 + 7a = (13 * 2 + 2a * 2) 2 + 7a = (26 + 4a) Solving 2 + 7a = 26 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + 7a + -4a = 26 + 4a + -4a Combine like terms: 7a + -4a = 3a 2 + 3a = 26 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + 3a = 26 + 0 2 + 3a = 26 Add '-2' to each side of the equation. 2 + -2 + 3a = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 26 + -2 3a = 26 + -2 Combine like terms: 26 + -2 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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