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Simplifying (1w + -5) = (-5 + -5w) Reorder the terms: (-5 + 1w) = (-5 + -5w) Remove parenthesis around (-5 + 1w) -5 + 1w = (-5 + -5w) Remove parenthesis around (-5 + -5w) -5 + 1w = -5 + -5w Add '5' to each side of the equation. -5 + 5 + 1w = -5 + 5 + -5w Combine like terms: -5 + 5 = 0 0 + 1w = -5 + 5 + -5w 1w = -5 + 5 + -5w Combine like terms: -5 + 5 = 0 1w = 0 + -5w 1w = -5w Solving 1w = -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. 1w + 5w = -5w + 5w Combine like terms: 1w + 5w = 6w 6w = -5w + 5w Combine like terms: -5w + 5w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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