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Simplifying 4 + 2w = 8w + -1w + 10 Reorder the terms: 4 + 2w = 10 + 8w + -1w Combine like terms: 8w + -1w = 7w 4 + 2w = 10 + 7w Solving 4 + 2w = 10 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4 + 2w + -7w = 10 + 7w + -7w Combine like terms: 2w + -7w = -5w 4 + -5w = 10 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -5w = 10 + 0 4 + -5w = 10 Add '-4' to each side of the equation. 4 + -4 + -5w = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 10 + -4 -5w = 10 + -4 Combine like terms: 10 + -4 = 6 -5w = 6 Divide each side by '-5'. w = -1.2 Simplifying w = -1.2
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