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Simplifying w + 5 = 5w + -2 Reorder the terms: 5 + w = 5w + -2 Reorder the terms: 5 + w = -2 + 5w Solving 5 + w = -2 + 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. 5 + w + -5w = -2 + 5w + -5w Combine like terms: w + -5w = -4w 5 + -4w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + -4w = -2 + 0 5 + -4w = -2 Add '-5' to each side of the equation. 5 + -5 + -4w = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = -2 + -5 -4w = -2 + -5 Combine like terms: -2 + -5 = -7 -4w = -7 Divide each side by '-4'. w = 1.75 Simplifying w = 1.75
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