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Simplifying 5(a + 4) = 3(a + 2) Reorder the terms: 5(4 + a) = 3(a + 2) (4 * 5 + a * 5) = 3(a + 2) (20 + 5a) = 3(a + 2) Reorder the terms: 20 + 5a = 3(2 + a) 20 + 5a = (2 * 3 + a * 3) 20 + 5a = (6 + 3a) Solving 20 + 5a = 6 + 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 + 5a + -3a = 6 + 3a + -3a Combine like terms: 5a + -3a = 2a 20 + 2a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 2a = 6 + 0 20 + 2a = 6 Add '-20' to each side of the equation. 20 + -20 + 2a = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = 6 + -20 2a = 6 + -20 Combine like terms: 6 + -20 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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