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Simplifying w + 11 = 2w + -8 Reorder the terms: 11 + w = 2w + -8 Reorder the terms: 11 + w = -8 + 2w Solving 11 + w = -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. 11 + w + -2w = -8 + 2w + -2w Combine like terms: w + -2w = -1w 11 + -1w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 11 + -1w = -8 + 0 11 + -1w = -8 Add '-11' to each side of the equation. 11 + -11 + -1w = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = -8 + -11 -1w = -8 + -11 Combine like terms: -8 + -11 = -19 -1w = -19 Divide each side by '-1'. w = 19 Simplifying w = 19
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