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Simplifying 5 + w = (118 + -2w) Remove parenthesis around (118 + -2w) 5 + w = 118 + -2w Solving 5 + w = 118 + -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. 5 + w + 2w = 118 + -2w + 2w Combine like terms: w + 2w = 3w 5 + 3w = 118 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 3w = 118 + 0 5 + 3w = 118 Add '-5' to each side of the equation. 5 + -5 + 3w = 118 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 118 + -5 3w = 118 + -5 Combine like terms: 118 + -5 = 113 3w = 113 Divide each side by '3'. w = 37.66666667 Simplifying w = 37.66666667
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