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Simplifying 10w + 8 = 5w + 6 Reorder the terms: 8 + 10w = 5w + 6 Reorder the terms: 8 + 10w = 6 + 5w Solving 8 + 10w = 6 + 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 + 10w + -5w = 6 + 5w + -5w Combine like terms: 10w + -5w = 5w 8 + 5w = 6 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + 5w = 6 + 0 8 + 5w = 6 Add '-8' to each side of the equation. 8 + -8 + 5w = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 6 + -8 5w = 6 + -8 Combine like terms: 6 + -8 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4
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