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Simplifying 74 = 2w + (2w + -5) Reorder the terms: 74 = 2w + (-5 + 2w) Remove parenthesis around (-5 + 2w) 74 = 2w + -5 + 2w Reorder the terms: 74 = -5 + 2w + 2w Combine like terms: 2w + 2w = 4w 74 = -5 + 4w Solving 74 = -5 + 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. 74 + -4w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 74 + -4w = -5 + 0 74 + -4w = -5 Add '-74' to each side of the equation. 74 + -74 + -4w = -5 + -74 Combine like terms: 74 + -74 = 0 0 + -4w = -5 + -74 -4w = -5 + -74 Combine like terms: -5 + -74 = -79 -4w = -79 Divide each side by '-4'. w = 19.75 Simplifying w = 19.75
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