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Simplifying 3(4a + 6) = 4(2a + 5) Reorder the terms: 3(6 + 4a) = 4(2a + 5) (6 * 3 + 4a * 3) = 4(2a + 5) (18 + 12a) = 4(2a + 5) Reorder the terms: 18 + 12a = 4(5 + 2a) 18 + 12a = (5 * 4 + 2a * 4) 18 + 12a = (20 + 8a) Solving 18 + 12a = 20 + 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. 18 + 12a + -8a = 20 + 8a + -8a Combine like terms: 12a + -8a = 4a 18 + 4a = 20 + 8a + -8a Combine like terms: 8a + -8a = 0 18 + 4a = 20 + 0 18 + 4a = 20 Add '-18' to each side of the equation. 18 + -18 + 4a = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 4a = 20 + -18 4a = 20 + -18 Combine like terms: 20 + -18 = 2 4a = 2 Divide each side by '4'. a = 0.5 Simplifying a = 0.5
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