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Simplifying w + 8 = 2w + -1 Reorder the terms: 8 + w = 2w + -1 Reorder the terms: 8 + w = -1 + 2w Solving 8 + w = -1 + 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. 8 + w + -2w = -1 + 2w + -2w Combine like terms: w + -2w = -1w 8 + -1w = -1 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + -1w = -1 + 0 8 + -1w = -1 Add '-8' to each side of the equation. 8 + -8 + -1w = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = -1 + -8 -1w = -1 + -8 Combine like terms: -1 + -8 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9
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