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Simplifying 4(7a + 5) + 7(a + 7) = -71 Reorder the terms: 4(5 + 7a) + 7(a + 7) = -71 (5 * 4 + 7a * 4) + 7(a + 7) = -71 (20 + 28a) + 7(a + 7) = -71 Reorder the terms: 20 + 28a + 7(7 + a) = -71 20 + 28a + (7 * 7 + a * 7) = -71 20 + 28a + (49 + 7a) = -71 Reorder the terms: 20 + 49 + 28a + 7a = -71 Combine like terms: 20 + 49 = 69 69 + 28a + 7a = -71 Combine like terms: 28a + 7a = 35a 69 + 35a = -71 Solving 69 + 35a = -71 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 35a = -71 + -69 Combine like terms: 69 + -69 = 0 0 + 35a = -71 + -69 35a = -71 + -69 Combine like terms: -71 + -69 = -140 35a = -140 Divide each side by '35'. a = -4 Simplifying a = -4
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