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Simplifying 7 = 5 + -2w Solving 7 = 5 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 7 + 2w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 2w = 5 + 0 7 + 2w = 5 Add '-7' to each side of the equation. 7 + -7 + 2w = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 5 + -7 2w = 5 + -7 Combine like terms: 5 + -7 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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