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Simplifying 2(3a + 5) = 4(a + 4) Reorder the terms: 2(5 + 3a) = 4(a + 4) (5 * 2 + 3a * 2) = 4(a + 4) (10 + 6a) = 4(a + 4) Reorder the terms: 10 + 6a = 4(4 + a) 10 + 6a = (4 * 4 + a * 4) 10 + 6a = (16 + 4a) Solving 10 + 6a = 16 + 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. 10 + 6a + -4a = 16 + 4a + -4a Combine like terms: 6a + -4a = 2a 10 + 2a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + 2a = 16 + 0 10 + 2a = 16 Add '-10' to each side of the equation. 10 + -10 + 2a = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 16 + -10 2a = 16 + -10 Combine like terms: 16 + -10 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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