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Simplifying 37 + w = 5w + -35 Reorder the terms: 37 + w = -35 + 5w Solving 37 + w = -35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 37 + w + -5w = -35 + 5w + -5w Combine like terms: w + -5w = -4w 37 + -4w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 37 + -4w = -35 + 0 37 + -4w = -35 Add '-37' to each side of the equation. 37 + -37 + -4w = -35 + -37 Combine like terms: 37 + -37 = 0 0 + -4w = -35 + -37 -4w = -35 + -37 Combine like terms: -35 + -37 = -72 -4w = -72 Divide each side by '-4'. w = 18 Simplifying w = 18
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