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Simplifying -1(w + 4) = -8w + 9 Reorder the terms: -1(4 + w) = -8w + 9 (4 * -1 + w * -1) = -8w + 9 (-4 + -1w) = -8w + 9 Reorder the terms: -4 + -1w = 9 + -8w Solving -4 + -1w = 9 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -4 + -1w + 8w = 9 + -8w + 8w Combine like terms: -1w + 8w = 7w -4 + 7w = 9 + -8w + 8w Combine like terms: -8w + 8w = 0 -4 + 7w = 9 + 0 -4 + 7w = 9 Add '4' to each side of the equation. -4 + 4 + 7w = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 9 + 4 7w = 9 + 4 Combine like terms: 9 + 4 = 13 7w = 13 Divide each side by '7'. w = 1.857142857 Simplifying w = 1.857142857
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