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Simplifying 150 + 7w = 120 + 5w Solving 150 + 7w = 120 + 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. 150 + 7w + -5w = 120 + 5w + -5w Combine like terms: 7w + -5w = 2w 150 + 2w = 120 + 5w + -5w Combine like terms: 5w + -5w = 0 150 + 2w = 120 + 0 150 + 2w = 120 Add '-150' to each side of the equation. 150 + -150 + 2w = 120 + -150 Combine like terms: 150 + -150 = 0 0 + 2w = 120 + -150 2w = 120 + -150 Combine like terms: 120 + -150 = -30 2w = -30 Divide each side by '2'. w = -15 Simplifying w = -15
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