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Simplifying 10 + w = -10 + -5w + -10 Reorder the terms: 10 + w = -10 + -10 + -5w Combine like terms: -10 + -10 = -20 10 + w = -20 + -5w Solving 10 + w = -20 + -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 + w + 5w = -20 + -5w + 5w Combine like terms: w + 5w = 6w 10 + 6w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 10 + 6w = -20 + 0 10 + 6w = -20 Add '-10' to each side of the equation. 10 + -10 + 6w = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = -20 + -10 6w = -20 + -10 Combine like terms: -20 + -10 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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