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Simplifying 47 + -14w = 2 + w Solving 47 + -14w = 2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 47 + -14w + -1w = 2 + w + -1w Combine like terms: -14w + -1w = -15w 47 + -15w = 2 + w + -1w Combine like terms: w + -1w = 0 47 + -15w = 2 + 0 47 + -15w = 2 Add '-47' to each side of the equation. 47 + -47 + -15w = 2 + -47 Combine like terms: 47 + -47 = 0 0 + -15w = 2 + -47 -15w = 2 + -47 Combine like terms: 2 + -47 = -45 -15w = -45 Divide each side by '-15'. w = 3 Simplifying w = 3
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