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Simplifying -5w + 4(2 + 2a) = -1 -5w + (2 * 4 + 2a * 4) = -1 -5w + (8 + 8a) = -1 Reorder the terms: 8 + 8a + -5w = -1 Solving 8 + 8a + -5w = -1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8a + -8 + -5w = -1 + -8 Reorder the terms: 8 + -8 + 8a + -5w = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 8a + -5w = -1 + -8 8a + -5w = -1 + -8 Combine like terms: -1 + -8 = -9 8a + -5w = -9 Add '5w' to each side of the equation. 8a + -5w + 5w = -9 + 5w Combine like terms: -5w + 5w = 0 8a + 0 = -9 + 5w 8a = -9 + 5w Divide each side by '8'. a = -1.125 + 0.625w Simplifying a = -1.125 + 0.625w
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