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Simplifying w + -123 = 5w + -3 Reorder the terms: -123 + w = 5w + -3 Reorder the terms: -123 + w = -3 + 5w Solving -123 + w = -3 + 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. -123 + w + -5w = -3 + 5w + -5w Combine like terms: w + -5w = -4w -123 + -4w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 -123 + -4w = -3 + 0 -123 + -4w = -3 Add '123' to each side of the equation. -123 + 123 + -4w = -3 + 123 Combine like terms: -123 + 123 = 0 0 + -4w = -3 + 123 -4w = -3 + 123 Combine like terms: -3 + 123 = 120 -4w = 120 Divide each side by '-4'. w = -30 Simplifying w = -30
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