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Simplifying 3(2a + 1) = 4a + 7 Reorder the terms: 3(1 + 2a) = 4a + 7 (1 * 3 + 2a * 3) = 4a + 7 (3 + 6a) = 4a + 7 Reorder the terms: 3 + 6a = 7 + 4a Solving 3 + 6a = 7 + 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. 3 + 6a + -4a = 7 + 4a + -4a Combine like terms: 6a + -4a = 2a 3 + 2a = 7 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + 2a = 7 + 0 3 + 2a = 7 Add '-3' to each side of the equation. 3 + -3 + 2a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 7 + -3 2a = 7 + -3 Combine like terms: 7 + -3 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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