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Simplifying 7w + 56 = -5w + 20 Reorder the terms: 56 + 7w = -5w + 20 Reorder the terms: 56 + 7w = 20 + -5w Solving 56 + 7w = 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. 56 + 7w + 5w = 20 + -5w + 5w Combine like terms: 7w + 5w = 12w 56 + 12w = 20 + -5w + 5w Combine like terms: -5w + 5w = 0 56 + 12w = 20 + 0 56 + 12w = 20 Add '-56' to each side of the equation. 56 + -56 + 12w = 20 + -56 Combine like terms: 56 + -56 = 0 0 + 12w = 20 + -56 12w = 20 + -56 Combine like terms: 20 + -56 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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