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Simplifying 8w + -7 = 20 + 5w Reorder the terms: -7 + 8w = 20 + 5w Solving -7 + 8w = 20 + 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. -7 + 8w + -5w = 20 + 5w + -5w Combine like terms: 8w + -5w = 3w -7 + 3w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 3w = 20 + 0 -7 + 3w = 20 Add '7' to each side of the equation. -7 + 7 + 3w = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 20 + 7 3w = 20 + 7 Combine like terms: 20 + 7 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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