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Simplifying 39 = (2w + -7) + 2w Reorder the terms: 39 = (-7 + 2w) + 2w Remove parenthesis around (-7 + 2w) 39 = -7 + 2w + 2w Combine like terms: 2w + 2w = 4w 39 = -7 + 4w Solving 39 = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 39 + -4w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 39 + -4w = -7 + 0 39 + -4w = -7 Add '-39' to each side of the equation. 39 + -39 + -4w = -7 + -39 Combine like terms: 39 + -39 = 0 0 + -4w = -7 + -39 -4w = -7 + -39 Combine like terms: -7 + -39 = -46 -4w = -46 Divide each side by '-4'. w = 11.5 Simplifying w = 11.5
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