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Simplifying 37 + 7w + 10 = 11w Reorder the terms: 37 + 10 + 7w = 11w Combine like terms: 37 + 10 = 47 47 + 7w = 11w Solving 47 + 7w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 47 + 7w + -11w = 11w + -11w Combine like terms: 7w + -11w = -4w 47 + -4w = 11w + -11w Combine like terms: 11w + -11w = 0 47 + -4w = 0 Add '-47' to each side of the equation. 47 + -47 + -4w = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -4w = 0 + -47 -4w = 0 + -47 Combine like terms: 0 + -47 = -47 -4w = -47 Divide each side by '-4'. w = 11.75 Simplifying w = 11.75
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