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Simplifying 2w + 5(w + -2) = 8 + -2w Reorder the terms: 2w + 5(-2 + w) = 8 + -2w 2w + (-2 * 5 + w * 5) = 8 + -2w 2w + (-10 + 5w) = 8 + -2w Reorder the terms: -10 + 2w + 5w = 8 + -2w Combine like terms: 2w + 5w = 7w -10 + 7w = 8 + -2w Solving -10 + 7w = 8 + -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. -10 + 7w + 2w = 8 + -2w + 2w Combine like terms: 7w + 2w = 9w -10 + 9w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -10 + 9w = 8 + 0 -10 + 9w = 8 Add '10' to each side of the equation. -10 + 10 + 9w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = 8 + 10 9w = 8 + 10 Combine like terms: 8 + 10 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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