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Simplifying w + 18 = 5w + -2 Reorder the terms: 18 + w = 5w + -2 Reorder the terms: 18 + w = -2 + 5w Solving 18 + 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. 18 + w + -5w = -2 + 5w + -5w Combine like terms: w + -5w = -4w 18 + -4w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -4w = -2 + 0 18 + -4w = -2 Add '-18' to each side of the equation. 18 + -18 + -4w = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -4w = -2 + -18 -4w = -2 + -18 Combine like terms: -2 + -18 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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