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Simplifying w + -12 = 5w Reorder the terms: -12 + w = 5w Solving -12 + w = 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. -12 + w + -5w = 5w + -5w Combine like terms: w + -5w = -4w -12 + -4w = 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -4w = 0 Add '12' to each side of the equation. -12 + 12 + -4w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = 0 + 12 -4w = 0 + 12 Combine like terms: 0 + 12 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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