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Simplifying 7(w + 2a) + 8w + 5 = 0 Reorder the terms: 7(2a + w) + 8w + 5 = 0 (2a * 7 + w * 7) + 8w + 5 = 0 (14a + 7w) + 8w + 5 = 0 Reorder the terms: 5 + 14a + 7w + 8w = 0 Combine like terms: 7w + 8w = 15w 5 + 14a + 15w = 0 Solving 5 + 14a + 15w = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 14a + -5 + 15w = 0 + -5 Reorder the terms: 5 + -5 + 14a + 15w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14a + 15w = 0 + -5 14a + 15w = 0 + -5 Combine like terms: 0 + -5 = -5 14a + 15w = -5 Add '-15w' to each side of the equation. 14a + 15w + -15w = -5 + -15w Combine like terms: 15w + -15w = 0 14a + 0 = -5 + -15w 14a = -5 + -15w Divide each side by '14'. a = -0.3571428571 + -1.071428571w Simplifying a = -0.3571428571 + -1.071428571w
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