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Simplifying 47 = 4w + -17 Reorder the terms: 47 = -17 + 4w Solving 47 = -17 + 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 + -4w = -17 + 4w + -4w Combine like terms: 4w + -4w = 0 47 + -4w = -17 + 0 47 + -4w = -17 Add '-47' to each side of the equation. 47 + -47 + -4w = -17 + -47 Combine like terms: 47 + -47 = 0 0 + -4w = -17 + -47 -4w = -17 + -47 Combine like terms: -17 + -47 = -64 -4w = -64 Divide each side by '-4'. w = 16 Simplifying w = 16
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