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Simplifying 3(2a + 1) = 4(a + 3) Reorder the terms: 3(1 + 2a) = 4(a + 3) (1 * 3 + 2a * 3) = 4(a + 3) (3 + 6a) = 4(a + 3) Reorder the terms: 3 + 6a = 4(3 + a) 3 + 6a = (3 * 4 + a * 4) 3 + 6a = (12 + 4a) Solving 3 + 6a = 12 + 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 = 12 + 4a + -4a Combine like terms: 6a + -4a = 2a 3 + 2a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + 2a = 12 + 0 3 + 2a = 12 Add '-3' to each side of the equation. 3 + -3 + 2a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 12 + -3 2a = 12 + -3 Combine like terms: 12 + -3 = 9 2a = 9 Divide each side by '2'. a = 4.5 Simplifying a = 4.5
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