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Simplifying 8w + -2w + 5 = 4 + -3 + 5w Reorder the terms: 5 + 8w + -2w = 4 + -3 + 5w Combine like terms: 8w + -2w = 6w 5 + 6w = 4 + -3 + 5w Combine like terms: 4 + -3 = 1 5 + 6w = 1 + 5w Solving 5 + 6w = 1 + 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 + 6w + -5w = 1 + 5w + -5w Combine like terms: 6w + -5w = 1w 5 + 1w = 1 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + 1w = 1 + 0 5 + 1w = 1 Add '-5' to each side of the equation. 5 + -5 + 1w = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 1 + -5 1w = 1 + -5 Combine like terms: 1 + -5 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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