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Simplifying 5(2a + 4) = 3(a + 9) Reorder the terms: 5(4 + 2a) = 3(a + 9) (4 * 5 + 2a * 5) = 3(a + 9) (20 + 10a) = 3(a + 9) Reorder the terms: 20 + 10a = 3(9 + a) 20 + 10a = (9 * 3 + a * 3) 20 + 10a = (27 + 3a) Solving 20 + 10a = 27 + 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. 20 + 10a + -3a = 27 + 3a + -3a Combine like terms: 10a + -3a = 7a 20 + 7a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 7a = 27 + 0 20 + 7a = 27 Add '-20' to each side of the equation. 20 + -20 + 7a = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 7a = 27 + -20 7a = 27 + -20 Combine like terms: 27 + -20 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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