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