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Simplifying (3a + 7) = (4a + 2) Reorder the terms: (7 + 3a) = (4a + 2) Remove parenthesis around (7 + 3a) 7 + 3a = (4a + 2) Reorder the terms: 7 + 3a = (2 + 4a) Remove parenthesis around (2 + 4a) 7 + 3a = 2 + 4a Solving 7 + 3a = 2 + 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. 7 + 3a + -4a = 2 + 4a + -4a Combine like terms: 3a + -4a = -1a 7 + -1a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -1a = 2 + 0 7 + -1a = 2 Add '-7' to each side of the equation. 7 + -7 + -1a = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 2 + -7 -1a = 2 + -7 Combine like terms: 2 + -7 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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