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Simplifying 7w + -47 = 4w Reorder the terms: -47 + 7w = 4w Solving -47 + 7w = 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. -47 + 7w + -4w = 4w + -4w Combine like terms: 7w + -4w = 3w -47 + 3w = 4w + -4w Combine like terms: 4w + -4w = 0 -47 + 3w = 0 Add '47' to each side of the equation. -47 + 47 + 3w = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 3w = 0 + 47 3w = 0 + 47 Combine like terms: 0 + 47 = 47 3w = 47 Divide each side by '3'. w = 15.66666667 Simplifying w = 15.66666667
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