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Simplifying 3w + 11 = 2(w + 2) + 5 Reorder the terms: 11 + 3w = 2(w + 2) + 5 Reorder the terms: 11 + 3w = 2(2 + w) + 5 11 + 3w = (2 * 2 + w * 2) + 5 11 + 3w = (4 + 2w) + 5 Reorder the terms: 11 + 3w = 4 + 5 + 2w Combine like terms: 4 + 5 = 9 11 + 3w = 9 + 2w Solving 11 + 3w = 9 + 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. 11 + 3w + -2w = 9 + 2w + -2w Combine like terms: 3w + -2w = 1w 11 + 1w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 11 + 1w = 9 + 0 11 + 1w = 9 Add '-11' to each side of the equation. 11 + -11 + 1w = 9 + -11 Combine like terms: 11 + -11 = 0 0 + 1w = 9 + -11 1w = 9 + -11 Combine like terms: 9 + -11 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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