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Simplifying 8w + 3 = 5w + 7 + 4w Reorder the terms: 3 + 8w = 5w + 7 + 4w Reorder the terms: 3 + 8w = 7 + 5w + 4w Combine like terms: 5w + 4w = 9w 3 + 8w = 7 + 9w Solving 3 + 8w = 7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 3 + 8w + -9w = 7 + 9w + -9w Combine like terms: 8w + -9w = -1w 3 + -1w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 3 + -1w = 7 + 0 3 + -1w = 7 Add '-3' to each side of the equation. 3 + -3 + -1w = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 7 + -3 -1w = 7 + -3 Combine like terms: 7 + -3 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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