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Simplifying 5 + -1w = w + 3 Reorder the terms: 5 + -1w = 3 + w Solving 5 + -1w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 5 + -1w + -1w = 3 + w + -1w Combine like terms: -1w + -1w = -2w 5 + -2w = 3 + w + -1w Combine like terms: w + -1w = 0 5 + -2w = 3 + 0 5 + -2w = 3 Add '-5' to each side of the equation. 5 + -5 + -2w = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 3 + -5 -2w = 3 + -5 Combine like terms: 3 + -5 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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