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Simplifying 8 = 5(w + -2) + -7w Reorder the terms: 8 = 5(-2 + w) + -7w 8 = (-2 * 5 + w * 5) + -7w 8 = (-10 + 5w) + -7w Combine like terms: 5w + -7w = -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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