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Simplifying w + 45 = 5w + 5 Reorder the terms: 45 + w = 5w + 5 Reorder the terms: 45 + w = 5 + 5w Solving 45 + w = 5 + 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 + w + -5w = 5 + 5w + -5w Combine like terms: w + -5w = -4w 45 + -4w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 45 + -4w = 5 + 0 45 + -4w = 5 Add '-45' to each side of the equation. 45 + -45 + -4w = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -4w = 5 + -45 -4w = 5 + -45 Combine like terms: 5 + -45 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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