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Simplifying 5(w + 2) + -11 = 2w + 9 + -7w Reorder the terms: 5(2 + w) + -11 = 2w + 9 + -7w (2 * 5 + w * 5) + -11 = 2w + 9 + -7w (10 + 5w) + -11 = 2w + 9 + -7w Reorder the terms: 10 + -11 + 5w = 2w + 9 + -7w Combine like terms: 10 + -11 = -1 -1 + 5w = 2w + 9 + -7w Reorder the terms: -1 + 5w = 9 + 2w + -7w Combine like terms: 2w + -7w = -5w -1 + 5w = 9 + -5w Solving -1 + 5w = 9 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + 5w + 5w = 9 + -5w + 5w Combine like terms: 5w + 5w = 10w -1 + 10w = 9 + -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 10w = 9 + 0 -1 + 10w = 9 Add '1' to each side of the equation. -1 + 1 + 10w = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 10w = 9 + 1 10w = 9 + 1 Combine like terms: 9 + 1 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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