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Simplifying -8 = -7w + 5(w + 2) Reorder the terms: -8 = -7w + 5(2 + w) -8 = -7w + (2 * 5 + w * 5) -8 = -7w + (10 + 5w) Reorder the terms: -8 = 10 + -7w + 5w Combine like terms: -7w + 5w = -2w -8 = 10 + -2w Solving -8 = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + 2w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 2w = 10 + 0 -8 + 2w = 10 Add '8' to each side of the equation. -8 + 8 + 2w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = 10 + 8 2w = 10 + 8 Combine like terms: 10 + 8 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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