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Simplifying 7(w + a) + w = 3(2w + 4a) + a Reorder the terms: 7(a + w) + w = 3(2w + 4a) + a (a * 7 + w * 7) + w = 3(2w + 4a) + a (7a + 7w) + w = 3(2w + 4a) + a Combine like terms: 7w + w = 8w 7a + 8w = 3(2w + 4a) + a Reorder the terms: 7a + 8w = 3(4a + 2w) + a 7a + 8w = (4a * 3 + 2w * 3) + a 7a + 8w = (12a + 6w) + a Reorder the terms: 7a + 8w = 12a + a + 6w Combine like terms: 12a + a = 13a 7a + 8w = 13a + 6w Solving 7a + 8w = 13a + 6w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 7a + -13a + 8w = 13a + -13a + 6w Combine like terms: 7a + -13a = -6a -6a + 8w = 13a + -13a + 6w Combine like terms: 13a + -13a = 0 -6a + 8w = 0 + 6w -6a + 8w = 6w Add '-8w' to each side of the equation. -6a + 8w + -8w = 6w + -8w Combine like terms: 8w + -8w = 0 -6a + 0 = 6w + -8w -6a = 6w + -8w Combine like terms: 6w + -8w = -2w -6a = -2w Divide each side by '-6'. a = 0.3333333333w Simplifying a = 0.3333333333w
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