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Simplifying -6w + 25 = 45w + -5 Reorder the terms: 25 + -6w = 45w + -5 Reorder the terms: 25 + -6w = -5 + 45w Solving 25 + -6w = -5 + 45w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45w' to each side of the equation. 25 + -6w + -45w = -5 + 45w + -45w Combine like terms: -6w + -45w = -51w 25 + -51w = -5 + 45w + -45w Combine like terms: 45w + -45w = 0 25 + -51w = -5 + 0 25 + -51w = -5 Add '-25' to each side of the equation. 25 + -25 + -51w = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -51w = -5 + -25 -51w = -5 + -25 Combine like terms: -5 + -25 = -30 -51w = -30 Divide each side by '-51'. w = 0.5882352941 Simplifying w = 0.5882352941
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