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Simplifying 8w + -45 = 5w Reorder the terms: -45 + 8w = 5w Solving -45 + 8w = 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. -45 + 8w + -5w = 5w + -5w Combine like terms: 8w + -5w = 3w -45 + 3w = 5w + -5w Combine like terms: 5w + -5w = 0 -45 + 3w = 0 Add '45' to each side of the equation. -45 + 45 + 3w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 3w = 0 + 45 3w = 0 + 45 Combine like terms: 0 + 45 = 45 3w = 45 Divide each side by '3'. w = 15 Simplifying w = 15
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