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Simplifying 8 + -3w = 5w + 10 Reorder the terms: 8 + -3w = 10 + 5w Solving 8 + -3w = 10 + 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. 8 + -3w + -5w = 10 + 5w + -5w Combine like terms: -3w + -5w = -8w 8 + -8w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -8w = 10 + 0 8 + -8w = 10 Add '-8' to each side of the equation. 8 + -8 + -8w = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = 10 + -8 -8w = 10 + -8 Combine like terms: 10 + -8 = 2 -8w = 2 Divide each side by '-8'. w = -0.25 Simplifying w = -0.25
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