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Simplifying 3 + 2w = 8 + -1w Solving 3 + 2w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 3 + 2w + w = 8 + -1w + w Combine like terms: 2w + w = 3w 3 + 3w = 8 + -1w + w Combine like terms: -1w + w = 0 3 + 3w = 8 + 0 3 + 3w = 8 Add '-3' to each side of the equation. 3 + -3 + 3w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = 8 + -3 3w = 8 + -3 Combine like terms: 8 + -3 = 5 3w = 5 Divide each side by '3'. w = 1.666666667 Simplifying w = 1.666666667
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