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Simplifying w + 45 = 10w Reorder the terms: 45 + w = 10w Solving 45 + w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 45 + w + -10w = 10w + -10w Combine like terms: w + -10w = -9w 45 + -9w = 10w + -10w Combine like terms: 10w + -10w = 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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