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Simplifying 5(1 + -2w) * a + 8w = 15 Reorder the terms for easier multiplication: 5a(1 + -2w) + 8w = 15 (1 * 5a + -2w * 5a) + 8w = 15 (5a + -10aw) + 8w = 15 Solving 5a + -10aw + 8w = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8w' to each side of the equation. 5a + -10aw + 8w + -8w = 15 + -8w Combine like terms: 8w + -8w = 0 5a + -10aw + 0 = 15 + -8w 5a + -10aw = 15 + -8w Reorder the terms: -15 + 5a + -10aw + 8w = 15 + -8w + -15 + 8w Reorder the terms: -15 + 5a + -10aw + 8w = 15 + -15 + -8w + 8w Combine like terms: 15 + -15 = 0 -15 + 5a + -10aw + 8w = 0 + -8w + 8w -15 + 5a + -10aw + 8w = -8w + 8w Combine like terms: -8w + 8w = 0 -15 + 5a + -10aw + 8w = 0 The solution to this equation could not be determined.
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