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Simplifying 2 + 5w = -8 + 7w Solving 2 + 5w = -8 + 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. 2 + 5w + -7w = -8 + 7w + -7w Combine like terms: 5w + -7w = -2w 2 + -2w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -2w = -8 + 0 2 + -2w = -8 Add '-2' to each side of the equation. 2 + -2 + -2w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = -8 + -2 -2w = -8 + -2 Combine like terms: -8 + -2 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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