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Simplifying 47 = 2w + 17 Reorder the terms: 47 = 17 + 2w Solving 47 = 17 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 47 + -2w = 17 + 2w + -2w Combine like terms: 2w + -2w = 0 47 + -2w = 17 + 0 47 + -2w = 17 Add '-47' to each side of the equation. 47 + -47 + -2w = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -2w = 17 + -47 -2w = 17 + -47 Combine like terms: 17 + -47 = -30 -2w = -30 Divide each side by '-2'. w = 15 Simplifying w = 15
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