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Simplifying 4(a + 2) = 3(a + 4) Reorder the terms: 4(2 + a) = 3(a + 4) (2 * 4 + a * 4) = 3(a + 4) (8 + 4a) = 3(a + 4) Reorder the terms: 8 + 4a = 3(4 + a) 8 + 4a = (4 * 3 + a * 3) 8 + 4a = (12 + 3a) Solving 8 + 4a = 12 + 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. 8 + 4a + -3a = 12 + 3a + -3a Combine like terms: 4a + -3a = 1a 8 + 1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 1a = 12 + 0 8 + 1a = 12 Add '-8' to each side of the equation. 8 + -8 + 1a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 12 + -8 1a = 12 + -8 Combine like terms: 12 + -8 = 4 1a = 4 Divide each side by '1'. a = 4 Simplifying a = 4
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