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Simplifying 10 + -3w = 3w + -8w + -44 Reorder the terms: 10 + -3w = -44 + 3w + -8w Combine like terms: 3w + -8w = -5w 10 + -3w = -44 + -5w Solving 10 + -3w = -44 + -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 + -3w + 5w = -44 + -5w + 5w Combine like terms: -3w + 5w = 2w 10 + 2w = -44 + -5w + 5w Combine like terms: -5w + 5w = 0 10 + 2w = -44 + 0 10 + 2w = -44 Add '-10' to each side of the equation. 10 + -10 + 2w = -44 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = -44 + -10 2w = -44 + -10 Combine like terms: -44 + -10 = -54 2w = -54 Divide each side by '2'. w = -27 Simplifying w = -27
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