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Simplifying -3w + 5 = 5w + -3 Reorder the terms: 5 + -3w = 5w + -3 Reorder the terms: 5 + -3w = -3 + 5w Solving 5 + -3w = -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. 5 + -3w + -5w = -3 + 5w + -5w Combine like terms: -3w + -5w = -8w 5 + -8w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + -8w = -3 + 0 5 + -8w = -3 Add '-5' to each side of the equation. 5 + -5 + -8w = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -8w = -3 + -5 -8w = -3 + -5 Combine like terms: -3 + -5 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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