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