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Simplifying 15w + -8 = 5w + 47 Reorder the terms: -8 + 15w = 5w + 47 Reorder the terms: -8 + 15w = 47 + 5w Solving -8 + 15w = 47 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -8 + 15w + -5w = 47 + 5w + -5w Combine like terms: 15w + -5w = 10w -8 + 10w = 47 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + 10w = 47 + 0 -8 + 10w = 47 Add '8' to each side of the equation. -8 + 8 + 10w = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = 47 + 8 10w = 47 + 8 Combine like terms: 47 + 8 = 55 10w = 55 Divide each side by '10'. w = 5.5 Simplifying w = 5.5
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