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Simplifying 4(a + 1) = 3(a + 3) Reorder the terms: 4(1 + a) = 3(a + 3) (1 * 4 + a * 4) = 3(a + 3) (4 + 4a) = 3(a + 3) Reorder the terms: 4 + 4a = 3(3 + a) 4 + 4a = (3 * 3 + a * 3) 4 + 4a = (9 + 3a) Solving 4 + 4a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + 4a + -3a = 9 + 3a + -3a Combine like terms: 4a + -3a = 1a 4 + 1a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + 1a = 9 + 0 4 + 1a = 9 Add '-4' to each side of the equation. 4 + -4 + 1a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 9 + -4 1a = 9 + -4 Combine like terms: 9 + -4 = 5 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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