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Simplifying 5(w + 2) + -11 = 2w Reorder the terms: 5(2 + w) + -11 = 2w (2 * 5 + w * 5) + -11 = 2w (10 + 5w) + -11 = 2w Reorder the terms: 10 + -11 + 5w = 2w Combine like terms: 10 + -11 = -1 -1 + 5w = 2w Solving -1 + 5w = 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. -1 + 5w + -2w = 2w + -2w Combine like terms: 5w + -2w = 3w -1 + 3w = 2w + -2w Combine like terms: 2w + -2w = 0 -1 + 3w = 0 Add '1' to each side of the equation. -1 + 1 + 3w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3w = 0 + 1 3w = 0 + 1 Combine like terms: 0 + 1 = 1 3w = 1 Divide each side by '3'. w = 0.3333333333 Simplifying w = 0.3333333333
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