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