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Simplifying 10 + -7w = -5w + -10 Reorder the terms: 10 + -7w = -10 + -5w Solving 10 + -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. 10 + -7w + 5w = -10 + -5w + 5w Combine like terms: -7w + 5w = -2w 10 + -2w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 10 + -2w = -10 + 0 10 + -2w = -10 Add '-10' to each side of the equation. 10 + -10 + -2w = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -10 + -10 -2w = -10 + -10 Combine like terms: -10 + -10 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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