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Simplifying 11(7a + 5) = 20(3a + 7) Reorder the terms: 11(5 + 7a) = 20(3a + 7) (5 * 11 + 7a * 11) = 20(3a + 7) (55 + 77a) = 20(3a + 7) Reorder the terms: 55 + 77a = 20(7 + 3a) 55 + 77a = (7 * 20 + 3a * 20) 55 + 77a = (140 + 60a) Solving 55 + 77a = 140 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. 55 + 77a + -60a = 140 + 60a + -60a Combine like terms: 77a + -60a = 17a 55 + 17a = 140 + 60a + -60a Combine like terms: 60a + -60a = 0 55 + 17a = 140 + 0 55 + 17a = 140 Add '-55' to each side of the equation. 55 + -55 + 17a = 140 + -55 Combine like terms: 55 + -55 = 0 0 + 17a = 140 + -55 17a = 140 + -55 Combine like terms: 140 + -55 = 85 17a = 85 Divide each side by '17'. a = 5 Simplifying a = 5
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