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Simplifying 2 + (w + 6) + 2w = 114 Reorder the terms: 2 + (6 + w) + 2w = 114 Remove parenthesis around (6 + w) 2 + 6 + w + 2w = 114 Combine like terms: 2 + 6 = 8 8 + w + 2w = 114 Combine like terms: w + 2w = 3w 8 + 3w = 114 Solving 8 + 3w = 114 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3w = 114 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 114 + -8 3w = 114 + -8 Combine like terms: 114 + -8 = 106 3w = 106 Divide each side by '3'. w = 35.33333333 Simplifying w = 35.33333333
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