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Simplifying 5w + 4 = 44 + -3w Reorder the terms: 4 + 5w = 44 + -3w Solving 4 + 5w = 44 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 4 + 5w + 3w = 44 + -3w + 3w Combine like terms: 5w + 3w = 8w 4 + 8w = 44 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 8w = 44 + 0 4 + 8w = 44 Add '-4' to each side of the equation. 4 + -4 + 8w = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 44 + -4 8w = 44 + -4 Combine like terms: 44 + -4 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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