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Simplifying 4(7a + 5) + 3(1 + 7a) = -26 Reorder the terms: 4(5 + 7a) + 3(1 + 7a) = -26 (5 * 4 + 7a * 4) + 3(1 + 7a) = -26 (20 + 28a) + 3(1 + 7a) = -26 20 + 28a + (1 * 3 + 7a * 3) = -26 20 + 28a + (3 + 21a) = -26 Reorder the terms: 20 + 3 + 28a + 21a = -26 Combine like terms: 20 + 3 = 23 23 + 28a + 21a = -26 Combine like terms: 28a + 21a = 49a 23 + 49a = -26 Solving 23 + 49a = -26 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 49a = -26 + -23 Combine like terms: 23 + -23 = 0 0 + 49a = -26 + -23 49a = -26 + -23 Combine like terms: -26 + -23 = -49 49a = -49 Divide each side by '49'. a = -1 Simplifying a = -1
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