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Simplifying 5(3a + 2) = 4(2a + 4) Reorder the terms: 5(2 + 3a) = 4(2a + 4) (2 * 5 + 3a * 5) = 4(2a + 4) (10 + 15a) = 4(2a + 4) Reorder the terms: 10 + 15a = 4(4 + 2a) 10 + 15a = (4 * 4 + 2a * 4) 10 + 15a = (16 + 8a) Solving 10 + 15a = 16 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 10 + 15a + -8a = 16 + 8a + -8a Combine like terms: 15a + -8a = 7a 10 + 7a = 16 + 8a + -8a Combine like terms: 8a + -8a = 0 10 + 7a = 16 + 0 10 + 7a = 16 Add '-10' to each side of the equation. 10 + -10 + 7a = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = 16 + -10 7a = 16 + -10 Combine like terms: 16 + -10 = 6 7a = 6 Divide each side by '7'. a = 0.8571428571 Simplifying a = 0.8571428571
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