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Simplifying 7w + 4 = 5w + -10 Reorder the terms: 4 + 7w = 5w + -10 Reorder the terms: 4 + 7w = -10 + 5w Solving 4 + 7w = -10 + 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. 4 + 7w + -5w = -10 + 5w + -5w Combine like terms: 7w + -5w = 2w 4 + 2w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + 2w = -10 + 0 4 + 2w = -10 Add '-4' to each side of the equation. 4 + -4 + 2w = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = -10 + -4 2w = -10 + -4 Combine like terms: -10 + -4 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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