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Simplifying 2(w + 1) = 5w + 11 Reorder the terms: 2(1 + w) = 5w + 11 (1 * 2 + w * 2) = 5w + 11 (2 + 2w) = 5w + 11 Reorder the terms: 2 + 2w = 11 + 5w Solving 2 + 2w = 11 + 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. 2 + 2w + -5w = 11 + 5w + -5w Combine like terms: 2w + -5w = -3w 2 + -3w = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -3w = 11 + 0 2 + -3w = 11 Add '-2' to each side of the equation. 2 + -2 + -3w = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 11 + -2 -3w = 11 + -2 Combine like terms: 11 + -2 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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