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Simplifying 20 + 5w = 80 + -7w Solving 20 + 5w = 80 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 20 + 5w + 7w = 80 + -7w + 7w Combine like terms: 5w + 7w = 12w 20 + 12w = 80 + -7w + 7w Combine like terms: -7w + 7w = 0 20 + 12w = 80 + 0 20 + 12w = 80 Add '-20' to each side of the equation. 20 + -20 + 12w = 80 + -20 Combine like terms: 20 + -20 = 0 0 + 12w = 80 + -20 12w = 80 + -20 Combine like terms: 80 + -20 = 60 12w = 60 Divide each side by '12'. w = 5 Simplifying w = 5
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