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Simplifying 45 = 4w + 5w Combine like terms: 4w + 5w = 9w 45 = 9w Solving 45 = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 45 + -9w = 9w + -9w Combine like terms: 9w + -9w = 0 45 + -9w = 0 Add '-45' to each side of the equation. 45 + -45 + -9w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9w = 0 + -45 -9w = 0 + -45 Combine like terms: 0 + -45 = -45 -9w = -45 Divide each side by '-9'. w = 5 Simplifying w = 5
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