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Simplifying (2(9 + w))(w + -4) = a + 84 ((9 * 2 + w * 2))(w + -4) = a + 84 ((18 + 2w))(w + -4) = a + 84 Reorder the terms: (18 + 2w)(-4 + w) = a + 84 Multiply (18 + 2w) * (-4 + w) (18(-4 + w) + 2w * (-4 + w)) = a + 84 ((-4 * 18 + w * 18) + 2w * (-4 + w)) = a + 84 ((-72 + 18w) + 2w * (-4 + w)) = a + 84 (-72 + 18w + (-4 * 2w + w * 2w)) = a + 84 (-72 + 18w + (-8w + 2w2)) = a + 84 Combine like terms: 18w + -8w = 10w (-72 + 10w + 2w2) = a + 84 Reorder the terms: -72 + 10w + 2w2 = 84 + a Solving -72 + 10w + 2w2 = 84 + a Solving for variable 'w'. Reorder the terms: -72 + -84 + -1a + 10w + 2w2 = 84 + a + -84 + -1a Combine like terms: -72 + -84 = -156 -156 + -1a + 10w + 2w2 = 84 + a + -84 + -1a Reorder the terms: -156 + -1a + 10w + 2w2 = 84 + -84 + a + -1a Combine like terms: 84 + -84 = 0 -156 + -1a + 10w + 2w2 = 0 + a + -1a -156 + -1a + 10w + 2w2 = a + -1a Combine like terms: a + -1a = 0 -156 + -1a + 10w + 2w2 = 0 The solution to this equation could not be determined.
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